Question

Integral problem

Answer 1

integral of \[e ^{x}\cos ^{2}x\]

Answer 2

I know I have to do it with integration by parts and I do it like that but I get the wrong answer, here's a picture so maybe someone can see my mistake.

Answer 3

The correct answer is \[\frac{ 2e ^{x}\sin2x + e ^{x}\cos2x}{ 5 }\]

Answer 4

So I'm not that far off, I just don't see what I do wrong

Answer 5

couldn't get how you got that 4I
anyways, how about trying to represent cos^2 x in term of cos 2x ??
then using the standard integral of e^(ax) cos (bx)

Answer 6

First the "correct" answer I thought it was wasn't correct. And you were right about doing it with terms of cos2x first. I got the right answer. I still have no idea what I did wrong with the other way but nevermind.

Answer 7

do you need a constant of integration

Answer 8

im still not sure how to get the sign right