CPM Homework Banner

No calculator! Evaluate the following integrals.

  1. -substitution.

  1. Before you integrate, factor the π out of the integrand. You may (or may not) choose to expand .

  1. Recall that  is a transformation of , and you know
    the antiderivative of .

  1. -substitution.

  1. You could long divide first or... use -Substitution.
    Let the denominator.

    If then .
    Therefore numerator 

    Also bounds and
    Rewrite the integral and evaluate.

  1. Recall that
    Then look for a familiar antiderivative.

Compute without a calculator