Simple irreducible quadratic factors Evaluate the following integrals.

Problem 32ESimple irreducible quadratic factors Evaluate the following integrals. AnswerWe have to evaluate the integral Take a partial fractionMultiply equation by denominator Simplify +4) …(1) Solve unknown parameters by plug in z=0 into the equation +4)Put this value in equation (1) we getTherefore ….(2)Put z=2u then dz= 2du Substitute back u= …(3) …(4)Therefore Where C is integration constant