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February 16th, 2011, 07:44 AM   #1
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How to evaluate integrals

How do you know if you should try to evaluate an integral by using integration by parts or by rationalizing substitutions? I mean usually you set u=---- that is part of the integral and go from there. But there are problems where it is easier to set u= ---- and solve for x then transform the integral in terms of u. Or do you just have to try both ways and see which evaluate the integral.

Any thoughts?
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February 16th, 2011, 01:15 PM   #2
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Re: How to evaluate integrals

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Originally Posted by ChloeG
How do you know if you should try to evaluate an integral by using integration by parts or by rationalizing substitutions? I mean usually you set u=---- that is part of the integral and go from there. But there are problems where it is easier to set u= ---- and solve for x then transform the integral in terms of u. Or do you just have to try both ways and see which evaluate the integral.

Any thoughts?
There is no universal answer to your question. There are many different approaches to evaluating integrals. For many complicated ones, a table lookup is probably the best way.
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