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8-32.

No calculator! Integrate.

  1. Let .

    Don't forget to rewrite the bounds in terms of .

  1. The derivative of an INDEFINITE integral, is the original function (FTC, pt.1) But the derivative of a DEFINITE integral is the original function times the derivative of the bounds.

  1. Let .


    Now rewrite the answer in terms of .

  1. Recall that .

  1. Use -substitution.
    And don't forget about the bounds!

Compute without a calculator