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Question Description

Often times it is difficult for calculus students to determine if a complicated looking expression can be integrated by using substitution or integration by parts. How can you decide which technique to use? What is a good rule of thumb? Provide an example of a problem that uses the substitution technique and a similar problem that uses integration by parts.

As an example, how would you integrate the following expression? By parts or substitution?

LaTeX: int xsqrt{x+1}dx:

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