Question

Integrate :-

Answer 1

@SithsAndGiggles

Answer 2

There's a reduction formula for cosecant, too. Give me a moment to find it.

In any case, you have
\[\cot^4x=\left(\csc^2x-1\right)^2\]

Answer 3

http://www.vias.org/calculus/07_trigonometric_functions_05_05.html

Answer 4

Okay

Answer 5

Another way to start is:
\(\int \cot^4x dx \implies \int \cot^2x(\csc^2x-1) dx\)

Answer 6

then ?

Answer 7

Distribute.

Answer 8

Ok ...

Answer 9

Which lets you break it into a pair of integrals...

Answer 10

ya..

Answer 11

Which should be a lot easier to do.

Answer 12

Second one.

Answer 13

Thank you :D

Answer 14

Have fun!