If you had say ∫cos(adsbygoogle = window.adsbygoogle || []).push({}); ^{4}(x)dx according to my integration table in calc book this would be something nasty. Could you not say let u = sin^{5}(x)/5 therefore du = cos^{4}(x)dx and then ∫du = u = sin^{5}(x)/5 + C. Is there something wrong with this. This technique would work on ∫x^{2}if you said let u = x^{3}/3 and then did everything else the same except there its not quite so tricky. I guess what I'm asking is if you're good at designing a function that when differentiated would give the funtion in the integral can you use my method there instead of the tables which give this nasty formula: ∫cos^{n}(x)dx = [(cos^{n-1}x)(sinx)]/n + [(n-1)/n]∫cos^{n-2}(x)dx

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# Integration Question

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