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Use the relationship between differentiation and integration to evaluate the following expressions.

As you work through this set of problems, look for patterns.

  1. Chain Rule

  1. This one is tricky. Concentrate on the part of the integrand. What will happen when you anti-differentiate that part?

    Refer to part (a) (the question, not the hint).

  1. Before you differentiate, rewrite the expression as with a fractional exponent.

  1. A clue is in part (c).
    And do not forget the .