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?