How do you integrate y=sinx/tanx using the quotient rule?

1 Answer
Nov 13, 2016

int sinx/tanx dx = sinx + C

Explanation:

The quotient rule is a formula for finding the derivative of u/v, rather than the integral of u/v. There is no formula for finding integral of u/v

The integral you have specified can be deal with as follows;

int sinx/tanx dx = int sinx/(sinx/cosx) dx

:. int sinx/tanx dx = int sinx * (cosx/sinx) dx

:. int sinx/tanx dx = int cosx dx

:. int sinx/tanx dx = sinx + C