Hey, i am just wondering how one chooses whether the proper method for integration is by parts, or by substitution. if by some OBSCURE method of substitution gives me the correct answer, will integrating by parts give the same? for example(adsbygoogle = window.adsbygoogle || []).push({});

INTEGRAL 2t/((t-3)^2) dt. i used a parts substitution first, and got one answer, but it is different than other answers generated by substitution..

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# Choosing the correct method of integration.

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