Calculus: Early Transcendentals, Chapter 4, 4.9, Section 4.9, Problem 57

Graph of f can be seen in the picture below (blue line).
From this we can sketch graph of its antiderivative. We start drawing from left to right. As long as f is positive (graph above x-axis) antiderivative is increasing and it reaches maximum when f(x)=0 (at x=-pi ) It continues to decrease until f reaches zero again (minimum of antiderivative at x=0 ). After this antiderivative is increasing again until it reaches maximum again (at x=pi) then it decreases until x=2pi.
The alternative is to sketch only left part of antiderivative (where x is negative) and then see that f is an odd function which means that antiderivative must be even meaning that its graph is symmetric with respect to y-axis.