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anonymous
 5 years ago
please integrate sine^3x ???
anonymous
 5 years ago
please integrate sine^3x ???

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\sin (3x) \ dx\] Perform a substitution, where \[u = 3x \ \ du = 3 \ dx \ \ \frac{1}{3}du = 1 \ dx\] Then you have an integral \[\frac{1}{3} \int\limits\limits_{}^{}\sin (u) \ du = \frac{1}{3}\cos(u) + c\] Substitute u = 3x back in and you'll have your answer \[\frac{1}{3}\cos(3x) + c\]
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