Hi everyone, first time poster on Physics forum here. I'm working on a school project to make a device to read QR code. I'm strapped for cash so I'm trying to figure out if I can recycle some parts from used electronics. Looking for the following parts:
- a graphic LCD display
- an arduino...
Homework Statement
\int xarcsin2xdx
2. The attempt at a solution
Can someone explain to me what is happening at step 2? I understand how the integration by parts was done, but where does the (1/8) or (2x) come from?
Homework Statement
\int\sqrt{4+9x^{2}}dx
Homework Equations
Pythagorean Identities?
The Attempt at a Solution
I find it sort of cumbersome to use the special formatting here, so I hope it is okay that I just photocopied my work on paper.
You can see how far I made it, but...
Trying to answer a question that state an experiment results shows uncertainty of 8 parts in 1010.
Can anyone shed some light on the meaning. I don't understand.
Thank you
1. How to solve integral of (1/(t2-t))dt
2. to be solved without using laplace transforms
3. integral of( uv)= u*(integral of v) -integral of ((u')*(integral of v)) ... right?
integral of (1/t^2-t) = integral of (1/t)*(1/t-1)dt = (1/t-1)*(log t) - integral((-1/(t-1)2*logt ...i don't...
Homework Statement
integrate (x*2e^x)/(2e^x-1)2 from x=0 to infinity
Homework Equations
The Attempt at a Solution
let t=2e^x-1 => x=ln((t+1)/2)
dt = 2e^x dx
Thus equation is now integrate (ln((t+1)/2))/t^2 dt from t=1 to infinity
Then let u = (t+1)/2 => 2du=dt
Equation now...
I am assuming that the solution was arrived at through integration by parts, however I am not able to completely work through it.
First given: cB= XB/Vm
the next step shows the solution to dcB given as:
dcB=(1-dlnVm/dlnxB)(dxB/Vm)
Homework Statement
Find analytic solution of some kind:
0&=Y''(y)-\frac{\alpha^2 [u(y) + U]}{\epsilon}Y(y)
U eigenvalue, u(y) known, epsilon & alpha paramertres,and& Y thing to be found
Homework Equations
u(y) is a parallel flow of some kind and laplace transform given by...
Homework Statement
Solve sin z=2 by
(a) equating the real and imaginary parts
(b) using the formula for arcsin z.
Homework Equations
(a)
sin z = sin x * cosh y + i * cos x * sinh y
arccosh z = log[z + sqrt(z^2 - 1)]
(b)
arcsin z = -i * log [i * z + sqrt(1 - z^2)]
The...
Homework Statement
Suppose f and g are analytic on a bounded domain D and continuous on the domain's boundary B.
Also, Re\left(f\right) = Re\left(g\right) on B.
Show that f = g + ia, where a is a real number.
Homework Equations
The maximum modulus principle states that Re\left(f\right) and...
Am a second year be student.While in a discussion in class my professor posed this question to us"Why does the LPG cylinder has to be two parts welded together".I tried searching it in net but coudn't kinda get the answer so can somebody explain it to me...
And since am newbie to the...
Homework Statement
i)Use integration by parts to express:
I(n) = ∫ sin^n (x) dx
in terms of I(n-2).
ii) Hence show that ∫(π/2 for top, π/4 for bottom) 1/[sin^4 (x)] dx = 4/3
Homework Equations
Reduction Formula and Trig Identity [sin²(x) + cos²(x) = 1]
π = pi
The Attempt at a...
Homework Statement
i have to create a general formula for integral of (x^n * e^x) dx
using whatever method i deem appropriate. (the only way i could think of is by parts)
Homework Equations
int(x^n * e^x)dx
int(uv')dx=uv-int(vu')dx
The Attempt at a Solution
i used integration by...
Homework Statement
∫ x * e^-x dx
Homework Equations
Integration by parts: Just wondering if below is correct. Not brilliant with Integration by parts and not sure if my +ve and -ve signs are correct. Some help to say if i am correct or where i have gone wrong would be brilliant...
[b]1. The problem statement, all variables and given/known
Homework Statement
\int \frac{sinx}{x}dx
Homework Equations
The Attempt at a Solution
Which method should work here? I tried integration by parts and it looks too much.
Is there a way to solve it without approximating it with the...
Homework Statement
I had this integral on my physics homework and for the life of me couldn't solve it. I ended up using Maple..well wolframalpha.com because Maple's output sucks.
Anyway here is the problem.
\int_{0}^{\infty} x e^{-2 \alpha x}dx
Homework Equations
\int u dv = uv - \int v...
In my linear algebra text it says it's possible to define (for nxn matrix A)
A_1^* =\frac{A+A^*}{2}
A_2^* =\frac{A-A^*}{2i}
so A=A1+iA2
It then asked if this was a reasonable way to define the real and imaginary parts of A. Is there a specific convention to define the real and imaginary parts...
I would like to solve the following integral but I am unsure of the best way to solve it:
\int_{0}^{H}xsin(\frac{w}{x})cos(\frac{x}{w})cosh(\frac{H}{w})dx
Is it possible to use integration by parts??
Thanks in advance
Hi All,
This is not a homework question, I am just trying to be come quicker at integrating by parts, when performing Laplace Transforms.
My textbook gives a basic example for performing the Laplace Transform of the variable t, to the transformed variable of s for the
equation...
the expression to integrate is:
\int x^{3}e^{x^{2}}dx
and in the spirit of "LIATE" I set my u and dv as the following:
dv=e^{x^{2}}dx
u=x^{3}
however, doing this that I integrate dv=e^{x^{2}}dx in order to get v...and unless I'm missing something, this does not seem like an easy...
Hey physics forums people, this is my first post ever and I am not sure if this is the right sub forum, but w.e, let's try this out anyways
Homework Statement
K so the problem is I've got a weight hanging on the shear centre of a cantilever and there are strain gauges all over it
It is an L...
problem is to integrate the following by parts:
\int x\sec^{2}xdx
my feeling is convert the secant term to cosine by:
sec^{2}x=cos^{-2}x\Rightarrow\int\sec^{2}xdx=\int\cos^{-2}xdx
then:
u=\cos^{-2}x\implies du=2\sin x(\cos^{-3}x)
and also:
dv=xdx\implies v=\frac{x^{2}}{2}...
problem is solve the following integral by parts:
\int\ln(2x+3)dx
I used substitution:
u=ln(2x+3)
\Rightarrow du=\frac{2}{2x+3}dx
and for dv:
dv=dx
\Rightarrow v=x
however, once I plug all these into my integration by parts formula, I get:
x\ln(2x+3)-\int\frac{2x}{2x+3}dx
and this new...
Hi
--
I want to integrate this integral and ask if my work is correct or not.
\int^\infty_0 dx x^{\alpha-1} e^{-x} (a+bx)^{-\alpha}
----------
I want to integrate it by parts, so I have
(a+bx)^{-\alpha} = v
-b\alpha(a+bx)^{-\alpha-1}dx = dv
x^{\alpha-1} e^{-x} dx = du...
I am taking calculus b but for some reason it seems to be a shorter version according to my instructor. We are using james stewart 6th edition but only taking chapters from 7-11 excluding 10 which are
7_Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions...
Homework Statement
∫ ln(2x+1)dx
Homework Equations
The Attempt at a Solution
∫ ln(2x+1)dx
1/2∫2ln(2x+1)dx
t = 2x+1
dt = 2dx
1/2∫ln(t)dt
u = ln(t)
du = 1/t dt
dv = dt
v = t
tln(t) - ∫ t*1/t dt
tln(t) - ∫ dt
tln(t) - t
1/2*[(2x+1)ln(2x+1) -...
Homework Statement
I don't know why, but the partials are really confusing me here. I need to integrate the following expression in a derivation:
I = \int_0^\delta v(x,y)\frac{\partial{u(x,y)}}{\partial{y}}\,dy \qquad(1)Homework Equations
I am supposed to integrate by parts here. \int...
Homework Statement
integral of x^2ln(x)dx
Homework Equations
The Attempt at a Solution
u=ln(x)
du= 1/x
dv=x2dx
x^3/3
integral x^2ln(x)dx = ln(x)x^3/3-intergral(x^3/3)(1/x)
hello, i am stuck on how to do this
I know how to do it for an indefinite integral, but it gets confusing for a definite integral. from my knowledge, when doing a definite integral, you have to change the upper and lower limit. but when it comes to integration by parts for a definite integral...
Homework Statement
\intx^2tan^{-1}xdx
The Attempt at a Solution
\int{x^2tan^{-1}xdx}
\int{x^2tan^{-1}xdx} = \frac{x^3}{3}tan^{-1}x-{\frac{1}{3}}\int \frac {x^3}{1+x^2}dx
let {}u=1+x^2, \frac{du}{2}=xdx
\frac{x^3}{3}tan^{-1}x- \frac{1}{6}\int (1-1/u)...
Homework Statement
\int t sin(2t) dt
Homework Equations
Integration by parts formula:
\intudv = uv - \intvdu
The Attempt at a Solution
I chose t to be u so,
u=t
du=dt
dv=sin(2t)dt
v=(sin)^2 (hope that's right. I used double angle formula to change sin(2t) into 2sint...
Homework Statement
I have work these two problems, but in the first one #4 I feel like I'm missing something a step or something. and in the second problem I'm just lost, I can't finish it so will you please assist me. your help is appreciated.
Homework Equations
thanks a lot.
The...
I'm looking for a 3d modeling software that let's me interact with rivets and joints to see how it would move. Basically I want to design a contraption made out of wooden slats and hinges/joints that open and folds into certain shapes. I would prefer software with a very low learning curve. Also...
Homework Statement
The sequence an = 0, if n contains the digit 9
an = 1/n. if n does not contain the digit 9
does the series\sum an converge?
Homework Equations
The Attempt at a Solution
I have this idea to separate this series into two subseries - the harmonic and the...
Homework Statement
I have to solve this integral
S cos(x^1/2)dx
where S is the integral symbol
Homework Equations
The Attempt at a Solution
the book tells me to use substitution and then integrate by parts
so i say u = x^1/2
du = 1/2*x^-1/2
then i can write 2 S...
Homework Statement
Solve the integral of [xln(x^2+9)] wrt x using the tabular method.
Homework Equations
By parts using the tabular method.
The Attempt at a Solution
u:
1. ln(x^2+9)
2. 2x/(x^2+9)
dv:
1. x
2. (1/2)x^2
3. (1/6)x^3
The answer for now is ...
Homework Statement
Hello. I am doing some problems on integration by parts and got stuck on the following problems. Any help would be appreciated.
i. \int \arcsin x dx
ii. \int_{0}^{1} x \ln (9+x^2) dx
iii. \int x^2 \arctan x\, dx
Homework Equations
u\,du=uv-v\,du
The Attempt at a...
[PLAIN]http://img25.imageshack.us/img25/8933/lastscante.jpg
I am new to integration by parts and am not sure what boundries to use when eveluating v on the bottom right.
Homework Statement
The definite integral of from 0 to 1 of ∫ (r3)dr/sqrt(4+r2)Homework Equations
∫udv = uv - ∫vdu
∫du/sqrt(a2 - u2) = arcsin(u/a) + C
∫du/(asqrt(a2 - u2)) = (1/a)arcsec(u/a) + C
The Attempt at a Solution
I made u = (4+r2)-1/2
because I thought it easier to get it's...
Homework Statement
Integrate: \sqrt{x}e^\sqrt{x}Homework Equations
See aboveThe Attempt at a Solution
Well I started off first by taking t=sqrt(x) but that didn't get me very far. So then I decided to make x equal to t^2 which sort of worked. After hours of struggle I decided to have a look at...
is the following formula of integration by parts
\int_{-\infty}^{\infty}dxf(x)D^{n}g(x) = (-1)^{n} \int_{-\infty}^{\infty}dxg(x)D^{n}f (x)
valid for real or non-integer n? the problem i see here is the term (-1)^{n} , which may be not so well defined for non-integer 'n'
Homework Statement
Homework Equations
The Attempt at a Solution
I tried this problem and couldn't figure it out so I went and got the solution. However, I don't understand step 6 of the solution. I'm not sure how
(n-1)\int\sin^{n-2}x(1-\sin^2x)dx=(n-1)\int\sin^{n-2}dx-(n-1)\int\sin^nx dx
Homework Statement
dy/dx = e^ysin^2x/ysecx
Stewart 6e 10.3 # 8
Homework Equations
The Attempt at a Solution
ydy/e^y = sin^2xdx/secx
e^-ydy = sec^-1xsin^2xdx
Integration by parts
u = e^-y
du = -e^-y
dv = ydy
v = y^2/2
∫udv = e^-yy^2/2 + ∫y^2/2e^-y
= y^2/2e^y +...
Hi,
I have a problem on how to convert the imaginary parts of expression into all real parts. For example:
x1 = - (a + ib)
x2 = (a + ib)
x3 = - (a - ib)
x4 = (a - ib)
My question is that how to express x1, x2, x3 and x4 in terms of real parts only without imaginary parts. I have used...
Homework Statement
find the integral of cot^(-1)of (5x)
Homework Equations
Integration by parts
The Attempt at a Solution
u = x
du = dx
dv = cot ^ (-1)
v = ?
and then i would plug into equation [uv- integral of vdu ]
Homework Statement
My homework problem is the double integral of y/1+xy dxdy. It is a definite double integral and both integrands have the values of a = 0 and b = 1. Homework Equations
Integration by parts: uv - int(vdu)
The Attempt at a Solution
My first step of the double integral is I...
Homework Statement
Calculate:
\integral \frac{1}{(x^2+1)(x+1)}
Homework Equations
\integral f(x) g'(x) = f(x) g(x) - \integral f'(x) g(x) + C
The Attempt at a Solution
I've tried using both 1/(x+1) and 1/(x^2 + 1) as dv, but both end up in another integral I can't solve, one...
Homework Statement
The shell of a shotgun, after being fired, with a velocity of v=1000 m/s gets split into two parts with equal masses. One of the two parts continues to move on the same direction as the whole (not separated) shell did, with a velocity of v=1500 m/s.
a) Find the velocity...
Homework Statement
Given characteristic functions f and g on the intervals [1,4] and [2,5] respectively. The derivatives of f and g exist almost everywhere. The integration by parts formula says \intf(x)g'(x)dx=f(3)g(3)-f(0)g(0)-\intf'(x)g(x)dx. Both integrals are 0 but f(3)g(3)-f(0)g(0) is...