A bicycle rider's right foot presses down on the bicycle's right pedal, but the force depends on the position of the pedal.
If the pedal follows the path rightarrow r→(t) = (0.2 cos t, - 0.2 sin t), and the force exerted at position (x,y) is F→(x, y) = (100 x, 1000 y/ - 2000 x - 200). Find the work done for one rotation-from t = 0 to t = 2π. Show your set up. but please use WolframAlpha to evaluate any resulting integrals.