(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the antiderivative of [tex]sin^4(x)tan^2(x)[/tex]

2. Relevant equations

Trig identities I may have overlooked.

3. The attempt at a solution

I tried writing the integrand in terms of sin and cos but that didn't seem to lead anywhere. I tried integration by parts since the antiderivative of [tex]tan^2(x)[/tex] is [tex]tanx - x + C[/tex], but that approach lead to a more difficult integral that might have been solved using a messier integration by parts.

This isn't really homework since I'm in a theoretical calc course and we begin the theory of integration next quarter (in fact, we're on break). Anyways I used to be pretty good with elementary terms integration but I'm stuck. Could someone suggest a good first step? Thanks.

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# Homework Help: Antiderivative of product of trig functions

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