Question

How do I integrate the function `f(x)=cos(x)/(sin^2(x))+sin(x)`?

Answer 1

Try this:

Answer 2

Rewrite `cosx/sin^2x` and then integrate term by term.

`cosx/sin^2x=1/sinx cosx/sinx=cscxcotx` So,

`int (cosx/sin^2x+sinx)dx=intcscxcotx dx+int sinx dx`

`=-cscx-cosx+C`.