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anonymous
 5 years ago
integrate∫5x sin(6x) dx
anonymous
 5 years ago
integrate∫5x sin(6x) dx

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let u = 5x → du = 5 dx let dv = sin(6x) dx → v = (1/6)cos(6x) \[\int u dv = uv  \int v du\] \[\int 5xsin(6x)dx = (5/6)xcos(6x) + (5/6) \int \cos(6x)dx\] \[\int 5xsin(6x)dx = (5/6)xcos(6x) + (5/24) \sin(6x)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{5}{6}xcos(6x)+\frac{5}{36}\sin(6x)+C\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0EDIT: my bad, I can't multiply. nadeem's answer is correct, 6*6 = 36, not 24.
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