` int_(0)^(2)int_(y^2)^(3-y) (x^2+y^2)dxdy`

Solve: int_(0)^(1)dyint_(1)^(2)(x^(2)+y^(2))dx

(b) int_(0)^(1)int_(y)^( sqrt(y))(x^(2)+y^(2))dydx

int_(0)^(a) y^(2) dx

int_(0)^(2)int_(0)^(x)int_(0)^(y)xydxdydz

int_0^1 int_y^sqrt(y) (x^2+y^2) dy dx=

evaluate: int_(0)^(2)int_(3)^(sqrt(y))[1+x+y]*dxdy

int_(-1)^(1)int_(0)^(2)int_(x-2)^(x+2)(x+y+z)dxdydz

int_(z=0)^(1)int_(y=0)^(z)int_(x=0)^(y)xy^(2)z^(3)dxdydz is

int_(1)^(2)int_(0)^(x)(dydx)/(x^(2)+y^(2))

Let y=f(x)=4x^(3)+2x-6 , then the value of int_(0)^(2)f(x)dx+int_(0)^(30)f^(-1)(y)dy is equal to _________.