- #1

Jgoshorn1

- 17

- 0

## Homework Statement

∫e

^{2x}arctan(e

^{x})dx

## Homework Equations

From the table of integrals:

#92 ∫utan

^{-1}udu = (u

^{2}+1)/2)tan

^{-1}-u/2 + c

or

#95 ∫u

^{n}tan

^{-1}udu = 1/(n+1)[u

^{n+1}tan

^{-1}-∫ (u

^{n+1}du)/(1+u

^{2}) , n≠-1

## The Attempt at a Solution

The answer is 1/2(e

^{2x}+1)arctan(e

^{x}) - (1/2)e

^{x}+ C

I don't know if I'm supposed to make a substitution first and if so what I should substitute and/or if which from I should use from the table. I've tried to make the initial substitution of e

^{2x}and e

^{x}and they both got me seemingly nowhere. Help please.