`int _(0)^(1)(dx)/(1-x+x^2)`

Evaluate the definite integrals int_(0)^(1)(dx)/(1+x^(2))

Evaluate: int_(0)^1(dx)/(1+x^2)

int_(0)^(1)(dx)/(x^(2)+4x+8)

The value of int_(0)^(1)(dx)/(x^(2)+1) is-

int_(0)^(1)2e^(x)dx

int_(0)^(1)x(1-x)^(n)dx

int_(-1)^(0)(1+x)/(1-x)dx

Evaluate: int_(0)^(1)(1-x)/(1+x)dx

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-1)(1-x-x^(2))dx is equal to

int_(0)^(1)tan^(-1)(1-x+x^(2))dx