`int_1^pi 1/(1+x^2) dx`

Evaluate: int_1^2 1/((x+1)(x+2))dx (ii) int_1^2 1/(x(1+x^2))dx

Evaluate: int_1^3 1/(x^2(x+1))dx

Evaluate: int_1^3 1/(x^2(x+1))dx

int_1^2 1/(x(x^4+1))dx =

If int_0^pi 1/(a+bcosx)dx=pi/sqrt(a^2-b^2) , then int_0^pi 1/(a+bcosx)^2dx is

Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx (ii) int(x^4+1)/(x^2+1)\ dx

int_0^(pi/2)1/(1+tan^2x)dx

If A=int_0^pi cosx/(x+2)^2 \ dx , then int_0^(pi//2) (sin 2x)/(x+1) \ dx is equal to

int_0^1(tan^(-1)x)/x dx is equals to (a) int_0^(pi/2)(sinx)/x dx (b) int_0^(pi/2)x/(sinx)dx (c) 1/2int_0^(pi/2)(sinx)/x dx (d) 1/2int_0^(pi/2)(""x)/(sinx)dx

IfI_1=int_0^1 2^(x^2)dx ,I_2=int_0^1 2^(x^3)dx ,I_3=int_1^2 2^(x^2)dx ,I_4=int_1^2 2^(x^3)dx , then which of the following is/are true?