Question

The integral of (tan^4xsec^2x)dx

Help me!!!

Answer 1

you can use u-substitution with the tan and sec^2x. the derivative of tanx=sec^2x

Answer 2

Okay what should dv be then?

Answer 3

dv=dx

Answer 4

u=tan(x)
du=sec^2(x)dx

Answer 5

Okay so you are just gonna use U-substitution not anything else?

Answer 6

yes, thats how i would approach the problem

Answer 7

So the answer is (tan^2x)/2+c?

Answer 8

But do you know how to figure it out and work it out?

Answer 9

Yes, I do :) Thanks :P

Answer 10

thats not correct, if you wolframalpha it you get (tan^5(x))/5 +c

Answer 11

http://www.wolframalpha.com/input/?i=integral+of+%28tan%5E4xsec%5E2x%29dx

This site is a great way to check your answers