" 3."int_(0)^(2)sqrt((2+x)/(2-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.

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

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

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

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

I=int_(0)^(2)x sqrt(4-x^(2))dx

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

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

int_(0)^(2//3)sqrt(4-9x^(2))dx=

int_(0)^(sqrt(2))sqrt(2-x^(2))dx=?