# How do you evaluate the integral of #int (cosx)/(sin^(2)x) dx#?

##### 2 Answers

#### Explanation:

Let

=

=

=

=

#### Explanation:

You could do this using

Here's what we do. First, let's split this expression into the following product:

Now, let's simplify those. We know that

Now, we'll need to take a peek at our derivative table, and recall that:

This is exactly what we have in our integral EXCEPT there's a negative sign we need to take into account. So, we'll need to multiply by -1 twice to take this into account. Note that this does not change the value of the integral, since

And this evaluates to:

And that's your answer! You should know how to do this using

Hope that helped :)