`int_0^a sqrtx(x^2+x)dx`

int_0^2 xsqrt(x+2)dx

int_0^a x/sqrt(a^2+x^2)dx

(i) int_0^1 x sqrt(2-x) dx (ii) int_0^1 x^2(1-x)^n dx

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

int_0^a x/sqrt(a^2-x^2) dx

IF int_0^a sqrtx dx=2a int_0^(pi//2) sin^3 x dx, find int_a^(a+1) x dx .

The value of the expression (int_0^a x^4(sqrt(a^2-x^2)))/(int_0^a x^2(sqrt(a^2-x^2))) dx is

int_0^1 (x+x^2)dx

(i) int_0^a sqrtx/(sqrtx+sqrt(a-x)) dx (ii) int_0^5 sqrtx/(sqrtx+sqrt(5-x)) dx (iii) int_0^a (dx)/(x+sqrt(a^2+x^2))