Find the area of the region bounded by the curves y = sin^-1(x/2), y = 0, and x = 2 obtained by integrating with respect to y. Please include the definite integral and the antiderivative.

Answer 1

You have things messed up. The curve does not go past x=1, so it cannot be bounded on the right by the line x=2.

Either set a y boundary which intersects the curve above the x-axis, or shift the x boundary.