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No calculator! Evaluate each of the following integrals.

  1. -substitution

    Let .

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

  1. -substitution

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

    If then .

    Also bounds and .
    Rewrite the integral and evaluate.

  1. Recall that .
    Then look for a familiar antiderivative.