" 28."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_0^2sqrt((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)^(2a) sqrt(2ax - 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 .