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

Question

4314 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-19T21:30:17

Try this:
enter image source here

Answer 2 · 2015-03-19T22:31:09

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

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

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

$=-cscx-cosx+C$ .

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