Integration practice I

Important note:  In this document   means natural logarithm.  For other bases, a subscript is used to indicate the base, for example logarithm base 10 of x is denoted  .

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0   Mathematica doesn't give the following integral in the expected form!  I took the difference with the expected answer, and found a constant.

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0  Make the substitution u = .

0  In the following, make the substitution u = x+ 3.