Evaluate the integrals
`int_(1)^(2)(1/x-1/(2x^(2)))dx`

Evaluate the definite integrals int_(0)^(1)(5x^(2)+1)dx

Evaluate the definite integrals int_(1)^(2)(5x^(2))/(x^(2)+4x+3)

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

Evaluate the definite integrals int_(2)^(3)(dx)/(x^(2)-1)

Evaluate the definite integrals int_(1)^(2)(4x^(3)-5x^(2)+6x+9)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

Evaluate the definite integrals int_(-1)^(1)(x+1)dx

Evaluate the definite integrals int_(2)^(3)(xdx)/(x^(2)+1)

Find the following integrals intx^(2)(1-1/(x^(2)))dx

The value of the integral int_(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is