Question

Evaluate: ∫ x/ (x + 1)(x² + 4) dx

Answer 1

x = A(x² + 4) + Bx (x + 1) + C(x + 1) 

Let x = –1, then A = –1/5 

x = 0, then C = 4/5 

and x = 1, then B = 1/5 

Thus, the given integral reduces to