Question

The integral of xcscxcotxdx

Answer 1

–csc x + C

Answer 2

\[\int [csc(x)cot(x)]\ x\ dx)\]

Answer 3

http://www.flashcardmachine.com/ap-calculus-abintegralrules.html

Answer 4

You can use integration by parts. Let u=x and du=csc(x)cot(x)
Then you have
u=x dv=csc(x)cot(x)dx
du=dx v=-csc(x)
So you have -csc(x)x-S(-csc(x))dx
\[-x \csc(x)+\int\limits \csc(x)dx=-x \csc(x)-\ln|\csc(x)+\cot(x)|+C\]

Answer 5

K thanks!

Answer 6

No problem xP