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

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?