Techniques of intergration

Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. [3y# + 64 - 1 dy y + 2y Perform long division on the given integrand and write the proper fraction as a sum of partial fractions. 3 y 4 + 6y 2 - 1 y 3 + 2y |3y y 2y 2 (y2 + 2) (Simplify your answer. Use integers or fractions for any numbers in the expression.) Evaluate the integral. [3y# + 642 -1d 342 y + 2y 2 , In lyl + = In ly2 + 21 + c Enter your answer in each of the answer boxes