Question

integrate csc^5 x dx

Answer 1

http://www.chegg.com/homework-help/questions-and-answers/integral-csc-5-x-q47028

Answer 2

got it ?

Answer 3

\[\csc^2x=\cot^2x+1\]so\[\int\csc^5xdx=\int\csc x(\csc^4x)dx=\int\csc x(1+\cot^2x)^2dx\]this can be done from here using u-substitutions; remember that\[\frac d{dx}\csc x=-\csc x\cot x\]

Answer 4

what happen next @TuringTest

Answer 5

expand and simplify\[\csc x(1+\cot^2x)^2\]what do you get?

Answer 6

csc x(1 + 2 cot^2 x + cot^4 x)

Answer 7

good, and distributing csc x...

Answer 8

oh dear, I really messed that up, never mind my original suggestion...
your integral is actually pretty darn tricky, I will have to reevaluate my approach.