`int_(0)^(a)sqrt((a+x)/(a-x))dx=`

int_(0)^(3)sqrt((x)/(3-x))dx

If int_(0)^(a)sqrt((a-x)/(x))dx=(K)/(2), then K=. . .

If int_(0)^(a) sqrt((a-x)/(x)) dx = (k)/(2) ,then k = …..

int_(0)^(1)sqrt((1-x)/(1+x))dx

int_(0)^(1)sqrt((1-x)/(1+x))dx

int_(0)^(3)sqrt((3-x)/(x))dx

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

int_(0)^(3)sqrt((x^(3))/(3-x))dx

int_(0)^(a)(a+x)/(sqrt(a-x))dx=

Evaluate the following improper integrals : (a) int_(-3)^(3)(x^(2)dx)/(sqrt(9-x^(2))), (b) int_(0)^(2)sqrt((2+x)/(2-x))dx.