Asked by Calculus

Integrate ∫ xsinxcosx dx

13 years ago

Answered by MathMate

I=∫ xsinxcosx dx (subst. double angle)
=(1/2)∫ xsin(2x) dx
Integrate by parts
I=-(1/4)xcos(2x)+(1/4)∫ cos(2x) dx
=-(1/4)xcos(2x)+(1/8)sin(2x)+C

13 years ago

Answered by ayalew

8 years ago

There are no AI answers yet. The ability to request AI answers is coming soon!

Submit Your Answer

We prioritize human answers over AI answers.

If you are human, and you can answer this question, please submit your answer.