Substitution Definition and 816 Threads

hey guys i recently found a code in a spam e-mail sent to me, it apears to be a word substitution code and i haven't been able to break it (not sure if there is a way) anyway here's the portin of code i got, if you think you might need more examples e-mail me, i won't post them here becasue some...

what would be the appropriate trigonometic substition for the following: 1.) \int(7x^2-7)^{3/2}) dx 2.) \int \frac{x^2}{\sqrt{(7x^2 + 8)}} ok i have a book with a list of trigonometric functions in front of me, but i don't get it. i don't see anything that i can sub in for. ok i...

Hi all, I'm totaly lost on how to get started on this one. Integrate 1dx/(x^(1/2)(1-x)^(1/2)) The solution manual jumps right through the substitution and ends up as Integrate (2u*du)/(u(1-u^2)^(1/2)) I'm just not seeing it, little help please. Keith

the problem is shown in the picture i attached. wouldnt i use u = 2sec(\theta) as a sub?

Please help. I'm having trouble with a simple integration by substitution problem The integrand is f(x) = x* sqr(x-1) The interval [1,2] Please draw it out in a gif file and send it to me via email. -much appreciated.

hi guys, i need to calculate the substitution resistance between the points A and B of the chain in the attached picture. Each rectangle is a resistance R , except the resistance on the right-top of the figure. That has value 2R ; and the solution has to be (13/11)R. I know that we have to...

Hi, I'm currently stuck on an integration via substitution problem. I have an answer but the one given in the book of the book is different to mine. I'm wondering where exactly I've gone wrong, if i have: Q10: Integrate: x/ (x+1)^0.5 dx. Use the substitution, u^2 = x + 1. Heres my...

How do I evaluate: d/dt sqrt [ t^4 + t^2 ]= 0 to get a max/min value. can I make a u substitution of some sort?

Hello, everyone... I am new to OOP, and this is the first time I make a question on PF, hope you can help me out. I am not sure about this principle. Can you tell me in what ways I can *break* Liskov substitution principle ? Thanks, ~Alek

If this equation is true: V=(V1+V2)/(1+(V1*V2)/c^2) Then why is it when you plug in c^2 for both V1 and V2 you get the total velocity as 2m/s

\int\frac{dx}{x^4+1} What really frustrates me is that I've seen this integral before. I believe it involved some whacky subsitution like x=e^u, but no substitution seems to work. Partial fractions just make a mess. Trig subs seem tempting but that 4 screws everything up. Ideas?

anybody know what the primary mode of ligand substitution for first row octahedral transition metal complexes?

For our homework this week for Pure, one of the questions is to ingration 1/(16 + x^2) with respect to x between the limits 0 and 4. I know the result from the formula wqith arctan in it, but since we've to use substitituion here and not just plonk down the formula, I'm confused as to what to...

At the moment I'm trying to solve this integration problem and it's not working out asd neatly as any other substituion problem I've tried before. We have to integrate sqrtx divided by (1 + x^2) using the substitution x= tan^2t (as in tan squared t). So when we have dx/dt so you get...

S(x²(1-x²)¹/²)dx without use x=sen(T)? Sx^2(1-x^2)^1/2dx x=sen(t) dx=cos(t)dt (-pi/2<=t<=pi/2) S(x^2(1-x^2)^1/2)dx=S(sen^2(t)cos^2(t))dt S(sen^2(t)cos^2(t)^)dt=S((1-cos^2(2t))/4)dt =S1/4dt - S((co^2(2t))/4)dt= t + c1 - S((1-cos(4t))/8)dt =t/4 + c1 - S1/8dt + S(cos(4t)/8)dt= t/4 +...

How do you do this question, I've spent hours figuring it out: Use the substitution x = 3sint to show that 3 [inte]x^2[squ](9-x^2) dx = (81/16)pi 0