Review question

Can the integral of $\sin(\sin t)$ be zero? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6622

Suggestion

In the region $0 < x \le 2\pi$, the equation $\int_0^x \sin(\sin t)\, dt = 0$ has

1. no solution;

2. one solution;

3. two solutions;

4. three solutions.

Can we sketch a rough graph of the function $\sin(\sin t)$ for $0\le t\le 2\pi$?

What would $\int_0^x \sin(\sin t)\, dt = 0$ imply in terms of the areas under the graph?