Question

求高数大神帮忙解答

求详细一点的过程谢谢

Answer 1

积分区域为：0<x<1,0<y<x^2
∫∫（x^2+y^2）dσ
=∫(0,1)dx∫(0,x^2)(x^2+y^2)dy
=∫(0,1)[x^2y+y^3/3)|(0,x^2)]dx
=∫(0,1)[x^4+x^6/3)dx
=(1/5)+(1/21)
=26/105