Question

Integrate cost/1+sint dt

Answer 1

Don't bother with the cross multiplication. Just do a substitution.

u=1+sint
du=cost

Answer 2

huh lolz yeah xD

Answer 3

I need to mow the lawn >.<

Answer 4

lolz :3

Answer 5

\[
\int \frac{\cos t}{1+\sin t}dt = \int \frac{d(1+\sin t)}{1+\sin t}
\]