Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=10cosx, y=10sin2x,x=0
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^4,y=1; about y=5
Sketch the region enclosed by x+y^2=42 and x+y=0. Decide whether to integrate with respect to x or y, and then find the area of the region.