Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have a question on my integration assignment that I am not quite sure how to approach. I've looked at it and can't seem to think of a suitable place to use u-substitution.

All I can figure is that I can expand it out to be $f'(x)=\csc{x}\cot{x}-2\cos{x}$

I've considered maybe setting $u=2\sin{x}\cos{x}$ where $du=2(\cos^{2}{x}+\sin^{2}{x})\ dx$, which then simplifies to $2\ dx$, but then I can't get anywhere with that.

share|improve this question
add comment

1 Answer 1

up vote 3 down vote accepted

Use the fact that the derivative of $\sin x$ is $\cos x$ and the derivative of $\csc x$ is $-\csc x\cot x$. Hence $f(x)=-\csc x-2\sin x+C$.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.