(C) Use (17); rewrite as .(B) Rewrite as . Use (3).Compare the integrands in Questions 14 and 15, noting the difference.(A) Divide to obtain . Use (2), (3), and (4). Remember that
k dx = kx + C whenever k ≠ 0.(E).(Note the Binomial Theorem with n = 3 to expand (x − 2)^3 .)(D) The integral is equivalent to dt. Integrate term by term.(A) Integrate term by term.(D) Division yields
.(E) Use formula (4) with . Then . Note that the
integral can be written as .