Hi can sum1 check this trig integral for me please, thanks.

evaluate the integral of

( cot(x) + csc(x) ) / sin(x) dx

I got:

csc(x) (cot(x) + csc(x)) dx

expanding

(csc(x)cot(x)) +csc^2(x) dx

int csc^2(x) dx + int csc(x)cot(x) dx

int csc^2(x) dx + -csc(x)

-cot(x) - csc(x) + C