`int_0^a1/(x+sqrt(a^2-x^2))dx`

Evaluate: (i) int_0^4 1/(sqrt(x^2+2x+3))dx (ii) int_0^a1/(sqrt(a x-x^2))dx

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

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

int_0^a (sqrt(a^2-x^2)+xe^x)dx

int_(0)^(1)x sqrt(1-x^(2))dx

int_(0)^(a)dx/(sqrt(a^2-x^2))

(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))

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 sqrt(x^(2)+2)dx

int_0^1dx/((x+1)sqrt(2+x-x^2))