Answer:

Step-by-step explanation:
So we have the integral:

To evaluate this integral, we can use u-substitution. Remember that the derivative of sin(x) is cos(x). So, let u equal sin(x):

Take the derivative of u:

Multiply both sides by dx:

So, we can substitute cos(x) x for du.
We can also substitute sin(x) for u. Thus:
So, our integral is now:

This is equal to:

However, we also must change our bounds of integration. To do so, substitute in the lower and upper bound into u. So:

And:

Therefore, our integral with our new bounds is:

Now, note that the integral has the same upper bound and lower bound. Therefore, this means that our integral is going to be 0 since with the same bounds, there will be no area.
Therefore, our answer is 0:

And we're done!