Integration - Trig Substitutions (solve for Y)

1. Oct 30, 2007

MeanGreen07

1. The problem statement, all variables and given/known data

Solve the problem for y as a function of x

a) $$(x^2+1)^2 \frac{dy}{dx}=\sqrt{x^2+1}$$

2. Relevant equations

3. The attempt at a solution

After some simplifying, I get here but get stuck:

Did I go the wrong route going for the U sub? Were my calculations wrong to begin with? Any help is greatly appreciated!!!!!

Last edited: Oct 31, 2007
2. Oct 30, 2007

Dick

You are on the right track. But the tex is hugely unclear. In the end the integral should have come out to be dtheta/sec(theta). And that's hugely easy.

3. Oct 30, 2007

Dick

Stop texing. Your integrand is 1/sec(t)^3 and the dx is sec(t)^2*dt.

4. Oct 31, 2007

MeanGreen07

Sorry guys. My texing was bad and it appears my question was too simple for these forums.

5. Oct 31, 2007

Dick

Hey, hey. Sorry. I wasn't criticizing you. I can't TeX for s**t either. I'm just saying the problem is easier than you think. You just didn't put the integrand together with the dx and get a simple solution.

6. Oct 31, 2007

MeanGreen07

Well, I feel somewhat better. LOL!!

Thanks for the help!