Need integration help!

[murdazman13]

For my homework, I need to integrate X/(1+X²)^1/2. Using my TI-89, I've gotten the answer (X²+1)^1/2+C. I have no idea what integration methods to use to replicate this answer. Any help would be greatly appreciated.

 

[Steven G]

For my homework, I need to integrate X/(1+X²)^1/2. Using my TI-89, I've gotten the answer (X²+1)^1/2+C. I have no idea what integration methods to use to replicate this answer. Any help would be greatly appreciated.

Let u = (1+X²). Then du = 2xdx. Rewrite the integral using this substitution. Let us know how you make out.

 

[murdazman13]

Thanks for the help! I had tried this earlier, but made an algebraic error. I've got it all figured out now.