int_(0)^(9)(dx)/(x+sqrt(a^(2)-x^(2)))

(9) int_(0)^(1)(dx)/(x+sqrt(1-x^(2)))

The value of the expression (int_(0)^(a)x^(4)sqrt(a^(2)-x^(2))dx)/(int_(0)^(a)x^(2)sqrt(a^(2)-x^(2))dx)=

int_(0)^(9)(dx)/(1+sqrt(x))

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

int_(0)^(2)(dx)/(x+sqrt(4-x^(2)))

int(dx)/(sqrt(x^(2)+9^(2)))

Evaluate the following definite integrals Let int_(0)^(1)(dx)/(sqrt(16+9x^(2)))+int_(0)^(2)(dx)/(sqrt(9+4x^(2)))=ln a

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.