Page 25 - Calculus for the Clueless, Calc II
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You do not have to multiply out the last step, but I wanted to show you that doing the problem two ways gives
        the same answer. Also note that you do not have to do the problem two ways, and I am a little crazy to try.




























































         Our two answers check. Now that I've done it two ways to show you that both ways give the same answer, I
         will never, never do it twice again!!!!!!!!

         The last integration by parts, unless I think of another, is the integral of sec  x. I think it more properly belongs
                                                                                 3
         later (Example 10).

         The next section involves integrals of trig functions. It is absolutely essential that you know the trig identities
         and integrals we listed before.

                                              m
                                                     n
         Let's consider integrals of the form sin  x cos  x.
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        Example 5—
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