`I=int_(0)^(2)((5-x)/(9-x^(2)))dx`

Prove that 1

int_(0)^(3)(x+1)/(x^(2)+9)dx=

I=int_(0)^(1)((1+x)/(2-x))dx

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

I=int_(0)^(2)log((2)/(x)-1)dx

I=int_(0)^(oo)(x)/((x^(2)+a^(2))^(2))dx

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

int_(0)^(1)(x-5)sqrt(x^(2)+x)dx

Evaluate :int_(0)^(3)(dx)/(9+x^(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