Evaluate the integral
`int_(0)^(1) x tan^(-1)x dx `

evaluate the integrals int_(0)^(1)x(1-x)dx

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

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dxdot Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dxdot Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Evaluate the integrals int_0^1x/(x^2+1)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(1)x(1-x)^(n)dx

Evaluate the following integrals : int_(0)^(1)tan^(-1)((2x-1)/(1+x-x^(2)))dx .

Evaluate the following integral: int_0^1tan^(-1)x\ dx