`int_0^1y^2sqrt(1-y^2)dy`

int 1/(sqrt (1-y^2)) dy

int_0^3sqrt(4-y)dy

int(1)/(sqrt(1-y^(2)))dy

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

Area bounded by the curves y^2=4x and y=2x is equal to (A) int_0^1(2sqrt(x)-2x)dx (B) 1/3 (C) 2/3 (D) int_0^2(y/2-y^2/4)dy

If x=int_(0)^(y)sqrt(1+t^(2))dt, find (dy)/(dx)

int sqrt(4-y^(2))dy

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

int_0^2 int_0^sqrt(4+x^2) (dx dy)/(4+x^2+y^2) =