What is the antiderivative of cos(x)sin(sin(x))dx?
1 Answer
Apr 19, 2016
Explanation:
We will want to make use of the following integral:
∫sin(u)du=−cos(u)+C
Thus, we want to set the interior of the
So, we want to set
Thus, we have
∫cos(x)sin(sin(x))dx=∫sin(sin(x))⋅cos(x)dx
=∫sin(u)du=−cos(u)+C=−cos(sin(x))+C