Indefinite Definition and 299 Threads

An indefinite pronoun is a pronoun which does not have a specific familiar referent. Indefinite pronouns are in contrast to definite pronouns.
Indefinite pronouns can represent either count nouns or noncount nouns. They often have related forms across these categories: universal (such as everyone, everything), assertive existential (such as somebody, something), elective existential (such as anyone, anything), and negative (such as nobody, nothing).Many languages distinguish forms of indefinites used in affirmative contexts from those used in non-affirmative contexts. For instance, English "something" can only be used in affirmative contexts while "anything" is used otherwise.Indefinite pronouns are associated with indefinite determiners of a similar or identical form (such as every, any, all, some). A pronoun can be thought of as replacing a noun phrase, while a determiner introduces a noun phrase and precedes any adjectives that modify the noun. Thus all is an indefinite determiner in "all good boys deserve favour" but a pronoun in "all are happy".

View More On Wikipedia.org
Recent contents Top users
  1. S

    Indefinite Integration Calculus

    1. So I need to solve the following integral ∫1/(2+√x) The Attempt at a Solution By double integrating with u-substitution, I got to the following answer: 4+2√x-4ln(2+√x) + C I can't find out where I go wrong, cause the answer is 2√x-4ln(2+√x), it has been a while, so maybe the...
  2. D

    Need Help with Hard Indefinite Integral

    Hello, I need help with a very hard integral, I was trying several steps and I tried in the software "derive" but the answer didn't like to me. It is ψ(x,t)= [b^2-(x-vt)^2]^(-2) . I must integrate it with respect to x . Thanks in advance for any help! PD: I tried x-vt = u like the...
  3. C

    How to Find Angular Momentum from Time-Dependent Torque?

    Homework Statement A time-dependent torque given by a + bsin(ct) is applied to an object that's initially stationary but is free to rotate. Here a, b, and c are constants. Find an expression for the object's angular momentum as a function of time, assuming the torque is first applied at t =...
  4. T

    Multivariable Indefinite Limits

    Homework Statement Evaluate the following limits or determine that the limit does not exist. b) lim (x,y)–>(0,0) (1+xy)^(1/xy) Homework Equations The Attempt at a Solution I have a funny feeling this limit might exist. (Then again I get that feeling about every indefinite...
  5. G

    Indefinite Hydrolysis? Can It Be Done?

    Is it possible to have a tank of water, run electricity through it, collect the hydrogen and oxygen, use it as fuel to heat the same tank of water into steam, use the steam to spin a turbine generating electricity to run through the water once more to create more hydrogen and oxygen to use as...
  6. O

    Separating variables and then finding their indefinite integrals

    Hi I have not studied calculus for a while and I am just seeking some clarification on the following two problems I have attempted to solve. PROBLEM 1 dy/dx = y(x^3 - √x) I have separated the variables as follows: Rewrote equation as dy/dx = y(x^3 - x^1/2) Divided both sides by...
  7. O

    Difficult Indefinite Integral (substitution problem?)

    Homework Statement \int (\frac{x}{\sqrt{x+8}}) dx The Attempt at a Solution I got to be honest, I don't even really know where to start with this problem. So bear with me as I take a wild stab in the dark. This section was substitution problems, ... \frac{x}{\sqrt{x+8}} = \sqrt{...
  8. O

    Riemann Sum from Indefinite Integral

    Homework Statement Consider the integral, \int _3 ^7 (\frac{3}{x} + 2) dx a) Find the Riemann Sum for this integral using right endpoints and n=4. b) Find the Riemann Sum for this integral using left endpoints and n=4. Homework Equations The sum, \sum^{n = 4} (\frac{3}{x} + 2) The graph...
  9. S

    Evaluating an indefinite integral

    Homework Statement Evaluate the integral \int \frac{(a-x)^{r/s-1}}{(b-x)^{r/2}}dx Homework Equations given: s>r The Attempt at a Solution I tried using a substitution: let u=b-x so du=-dx this gives: -\int \frac{(a-b+u)^{r/s-1}}{u^{r/2}}du I don't know what i should...
  10. C

    Convergence of Improper Integral and Series with Logarithmic Functions

    Homework Statement The problem is divided into two sections: a) does the improper integral: 2ln(x)/x^7 (from 1 to infinity) Converge or diverge? If it converges, to what value? b) Determine whether the series: sigma n=1 to infinity (2ln(n)/n^7) converges or diverges. Homework...
  11. 1

    Indefinite Integrals - which method is preferred?

    Homework Statement \int (x+1)^2 dx Homework Equations The Attempt at a Solution I am just getting into this, and this is a simple problem, but my book and I took two separate routes. My question, essentially, is does any constant you get just "combine" with the "any constant" C...
  12. QuarkCharmer

    Indefinite Integration problem

    Homework Statement A particle is moving with the given data. Find the position of the particle. a(t)=t^{2}-4t+6, s(0)=0, s(1)=20 Homework Equations The Attempt at a Solution a(t)=t^{2}-4t+6, s(0)=0, s(1)=20 v(t)=\int t^{2}-4t+6 dt v(t)=\frac{t^{3}}{3}-2t^{2}+6t+C_{1} Then I suppose I take...
  13. A

    Struggling with Indefinite Integrals: Can You Solve These Tricky Functions?

    Homework Statement I need help finding the anti-derivatives (indefinite integrals) of the 2 functions below: 1) e^(sqrt(x)) 2) Sqrt(2x - x^2) Homework Equations The Attempt at a Solution I tried forever at these 2 but I can't figure out a way for either of them. Any...
  14. S

    How to evaluate this indefinite integral?

    Homework Statement \int \frac{\sqrt{x^4-1}}{x^3}dx Homework Equations The Attempt at a Solution tried substituting x^4 = \sec^2 \theta to get rid of square root but it was of no use because, I got another complex integral \int \frac{\sin^2\theta}{\cos^{\frac{3}{4}}...
  15. romsofia

    Indefinite integral of sin(x)/ln(x)?

    Anyone how to integrate this? Integration by parts doesn't get me anywhere, and there isn't a maclaurin series for ln(x). Thanks! (This isn't a homework question, I just was randomly doing integrals)
  16. P

    Integral of (5x+7)^28: Step-by-Step Solution

    Homework Statement S=integral symbol S(5x+7)^28 Homework Equations Substitution The Attempt at a Solution let u = 5x+7 du = 5 S u^28 du = (u^29)/29 du = [5(5x+7)^29]/29 is this correct? I'm not sure...
  17. Z

    Finding the Indefinite Integral of a Radical Expression

    Homework Statement \int{\sqrt{1+e^x}dx} Homework Equations \int{uv'}=uv-\int{u'v} The Attempt at a Solution I rewrote the integrand as \sqrt{1+(e^{x/2})^2} and used the trigonometric substituition e^{x/2}=tan(\theta), which simplified the radical to...
  18. M

    Is this indefinite integral really unsolvable?

    Hey, all. Anyway, browsing the Internet a bit I found this integral: \int \sqrt{1 + \frac{\ln x}{x}}dx as a proposed problem in a compilation of maths problems, as an integral from the MATYC journal. I gave it to Mathematica and WolframAlpha and they weren't able to solve it...
  19. G

    How Does the Limit Equal sqrt(e)?

    Homework Statement Show that: Lim [1+1/(2x)]^x = sqrt(e) x->-inf 2. Homework Equations /theorums L'Hopitals ruleThe Attempt at a Solution Let y= [1+1/(2x)]^x lny=ln [1+1/(2x)]^x lny= x ln [1+1/(2x)] Then Ln Lim (y)= x->-inf Lim (lny)= x->-inf Lim x ln...
  20. M

    What _is_ an indefinite integral?

    Given an indefinite integral, \int f(x) dx = F(x) + C, I am having some problems in understanding what this indefinite integral "is". The RHS is clearly a function, but what is the LHS? Judging by the equals sign, it should also be a function, but seemingly it isn't because there's no...
  21. A. Neumaier

    How useful are indefinite state spaces?

    I am continuing here the discussion of side issues from another thread, quoting a number of Careful's promotional posts for indefinite spaces, negative probabilities, and other unconventional ideas for a generalized quantum mechanics. (A Nevanlinna space is a vector space equipped with an...
  22. W

    Stuck in Evaluating an Indefinite Integral

    Homework Statement Evaluate the indefinite integral. Homework Equations I tried to use substitution. The Attempt at a Solution I'm not so good with using the LaTex codes...so I attached a file I made in Word. Thanks in advance!
  23. C

    Integration by substitution indefinite integral 5

    Homework Statement indefinite integral 5\picos\pit Homework Equations The Attempt at a Solution 5\pi int cos\pit Substitution Method 5\pi x sin (1/\pit
  24. M

    How Do You Integrate e^-x / (1 + e^-x) dx?

    Homework Statement (e^-x)/(1+e^-x)dx Homework Equations Integral of e^x function The Attempt at a Solution I am completely lost with the problem, the fact that it is e^-x and not e^x has me stupped as well as the division.
  25. S

    Solve Indefinite Integral: 1/(x(sqrt(x^2 - 4)))

    Homework Statement integral 1/(x(sqrt(x^2 - 4))) Homework Equations I don't know if there are any "equations" for integrals... The Attempt at a Solution Int(1/(x(Sqrt(4(x^2 /4)-1) Int(1/(2x(Sqrt((x^2 /4)-1) 1/2 int(1/(x(Sqrt((x /2)^2)-1) U-sub u=x/2 du=1/2 dx 2du= dx...
  26. R

    Indefinite Integral of a contant function

    This question is bugging me if an indefinite integral is of the form F(x) + C stating that F(x) is an antiderivative of f(x) and since the derivative of a constant is 0 the collection of all of the anti derivatives are of the F(x) + C accounting for the fact any constant can be tagged to the...
  27. S

    Indefinite integral for the square root of a quartic function

    I arrived at this problem while trying to find the length of a 3D http://en.wikipedia.org/wiki/Cubic_interpolation" . Basically, I'm having to figure out how to integrate ((At4+Bt3+Ct2+Dt+E)1/2)dt A,B,C,D, and E are constants which have to be plugged in after integration, I'm sorry to say...
  28. R

    Understanding Indefinite Integrals

    This is really a full on homework question but it WILL help me to solve my homework... by helping me fully understand the integral. So I am trying to understand exactly what the indefinte integral means? heres my train of thought... if our function F(x) = x2 then its derivative is F'(x)...
  29. M

    Mastering Indefinite Integrals - Essential Techniques and Examples

  30. P

    What is the Integral of a Trigonometric Function with an Indefinite Integral?

    Homework Statement \int \frac{cos x}{sin^2(x) - sin(x)-6}2. The attempt at a solution I first tried factoring the denominator. \int \frac{cos x}{(sin(x) -3)(sin(x)+2)} The first thing that came to my mind was Partial Factoring but I don't think it would work in this case.Thanks in advance!
  31. Z

    Indefinite Integral Homework: Get a Hint to Evaluate It

    Homework Statement How do I evaluate this? A hint will do.
  32. R

    Solving Indefinite Integrals: Tips, Hints & Help

    I am having much trouble with indefinite integrals - i get most of the basic theory behind them but as soon as i am confronted with a larger more complex question i get stuck too easily. These questions are not for my homework, they are just practice for my test. Any hints, tips and general...
  33. S

    Express the indefinite integral as a power series.

    Hello, I'm kind of stuck in this problem. I have to express the integral as a power series. the integral of (e^x -1)/x I thought about evaluating it as f(x)=(e^x -1)/x and treating it as a Taylor series is that correct? Could I have any other hints? I would really appreciate it...
  34. Topher925

    Solve third order, non-linear, ODE with indefinite BC's?

    I have a third order, non-linear, homogeneous, constant coefficient ODE that I need to solve but have no idea how to do it. To make matters worse, one of the boundary conditions are indefinite. Here's the equation, y''' + y*y'' - y'^2 + 1 = 0 and the BC's y(0) = 0 y'(0) = 0 y'(\infty) =...
  35. J

    Integrating ln(sqrt(t)/t) using u-substitution

    Homework Statement integrate lnsqrt(t)/t , dt Homework Equations The Attempt at a Solution This is the most i can come up with. u = lnsqrt(t), so du = 1/(2sqrt(t))dt , so dt = 2du/sqrt(t) Im stuck @ this point
  36. P

    Substitution in Indefinite Integral

    Homework Statement I started the problem, got stuck. Homework Equations The Attempt at a Solution
  37. P

    Substitution Rule in Indefinite Integrals

    Homework Statement Please explain how to use the substitution rule in indefinite integrals. I am unable even to start the problem. Homework Equations The Attempt at a Solution
  38. P

    Find the general indefinite integral

    Homework Statement Hi, can you please check the two problems? (I have never done such before) Homework Equations The Attempt at a Solution
  39. P

    Find the general indefinite integral.

    Homework Statement Hi! Can anyone check if I got the right answer? The Attempt at a Solution
  40. N

    Another Indefinite Integral question

    Homework Statement ∫cos(x)/sin^2(x)*dx Homework Equations The Attempt at a Solution Based off my earlier question, where is my error please. u=sinx du=cosx*dx ∫u^-1*du sin(x)^-1 1/sin(x) + C -or-csc(x) + C Thanks
  41. N

    Indefinite integral homework problem

    Homework Statement ∫cos(x)sin^6(x)*dx Homework Equations The Attempt at a Solution u=sin(x) then du should be -cos(x) according to the integral tables? -∫u^6*du = -u^7/7 -sin^7(x)/7+c yet my book and calculator tell me the answer is positive. How?
  42. C

    Help finding the indefinite integral

    1/(4+3x^2) ? I'm trying to use this integration formula to solve for this du ---------- a^2+u^2 I know my a would be 2, but what would my u be? I tried u = 3x and du=3dx and du/3=dx but (3x)^2 would be 9x^2
  43. N

    How can I evaluate the indefinite integral of dx/x^2*sqrt(4-x^2)?

    Homework Statement The problem reads(from the 4th edition of Stewart Calculus "Concepts and Contexts" pg. 394 #17): Evaluate the integral. the indefinite integral of dx/x^2*sqrt(4-x^2) so this would read out as "the indefinite integral of dx over x squared times the square root of 4 minus...
  44. P

    Simple Indefinite Integral of \int\frac{4}{-e^{4x-7}} = ln(-e^{4x-7}) = -4x+7+C

    \int\frac{4}{-e^{4x-7}} =ln-e^{4x-7}} =-4x+7+C The answer says it is: =\-e^{-4x+7}+C
  45. S

    Integrate S x^2(e^((x^3)+1)) with Parts - Step-by-Step

    S x^2(e^((x^3)+1)) I know I have to use integration by parts, and I'm guessing I should find the derivative of e^((x^3)+1), but I really have no idea where to start...
  46. F

    Long division to solve indefinite integral

    Homework Statement how to solve the integral of x^3 - 3x^2 + 4x -9 / x^2 + 3 dx Homework Equations using long division The Attempt at a Solution x^2 + 3 divided into x^3 - 3x^2 + 4x -9 I am not sure
  47. F

    Indefinite Integral of 1/x^2/3(1+x^1/3) | Homework Equations & Solution

    Homework Statement integral of 1/x^2/3(1+x^1/3) Homework Equations integral of 1/x dx = ln|x| + c The Attempt at a Solution let u= x ^2/3(1+x^1/3)
  48. A

    Indefinite Integration by exchange of variables

    Homework Statement \int \frac {2+z^{-1}}{z^{2}} dz The Attempt at a Solution Let: u = 2 +z^{-1} du = -z^{-2} dz dz = -z^{2} du so now its \int \frac {u}{z^{2}} (-z^{2}) du \int \frac {(u)(-z^{2})}{z^{2}} du \int (u)(-1) du and then the...
  49. A

    Indefinite Integration by exchange of variables

    Homework Statement \int \frac {1}{\sqrt{x}(1+\sqrt{x})} dx The Attempt at a Solution So let u = 1 + \sqrt{x} then du = \frac {1}{2}x^{-1/2} dx So dx should be this: dx = 2x^{1/2} du right? So now the Problem looks something like this: \int \frac...
  50. A

    Indefinite Integration by exchange of variables - Problem 2

    Homework Statement Find: \int \frac {-1}{x^{2}(1+\frac{1}{x})^{2}} dx Homework Equations Same as before: \int f(u)du = F(g(x)) + C The Attempt at a Solution Let u = 1 + \frac {1}{x} then du = -\frac{1}{x^{2}} so \frac {-1}{x^{2}(1+\frac{1}{x})^{2}}...
Back
Top