设是由矩形区域|x|
问题描述：
设是由矩形区域|x|
答
I=∫[0,2]∫[-1,1]|y-x^2|dxdy=∫[-1,1]∫[0,x^2]|y-x^2|dydx+∫[-1,1]∫[x^2,2]|y-x^2|dydx=∫[-1,1]∫[0,x^2](x^2-y)dydx+∫[-1,1]∫[x^2,2](y-x^2)dydx=∫[-1,1](x^2*y-1/2*y^2)|[0,x^2]dx+∫[-1,1](1/2*y^2-x^2*...