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Without using a calculator, evaluate the following expressions. Compute without a calculator

  1. Mentally integrate first.  Will you get an expression or just a constant?  What happens when you take the derivative next to the constant?

  1. Product Rule or Quotient Rule, depending how you write .

  1. Refer to the hint in part (a). But notice that this is an integral of a derivative, not the reverse. That means that this answer will include .

  1. Both parts of the sum in the integrand have antiderivatives that are trig (or inverse trig) functions.