∫ e2x sin x cos x dx
![](https://www.sarthaks.com/?qa=blob&qa_blobid=9047241077744794928)
Tip – If f1(x) and f2(x) are two functions , then an integral of the form ∫ f1(x)f2(x)dx can be INTEGRATED BY PARTS as
![](https://www.sarthaks.com/?qa=blob&qa_blobid=7961267928457555816)
where f1(x) and f2(x) are the first and second functions respectively.
Taking f1(x) = sin 2x and f2(x) = e2x,
![](https://www.sarthaks.com/?qa=blob&qa_blobid=6364209141739367893)
where c is the integrating constant