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anonymous
 4 years ago
Evaluate the integral by using multiple substitutions
∫5(3x^27)sin^5(x^37x) cos(x^37x) dx
anonymous
 4 years ago
Evaluate the integral by using multiple substitutions ∫5(3x^27)sin^5(x^37x) cos(x^37x) dx

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits 5(3x^27)\sin^5(x^37x)\cos(x^37x)dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0u= x^3−7x du = 3x^27 dx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well \[u=x^37x;du=3x^27\] this leaves \[\int5sin^5(u)cos(u)du\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0v =sin (u) dv = cos(u) du

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so the answer would be \[5sin^6(x^37x)\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Makes sense... THANK YOU BOTH!! ^_^

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0T.T i thought i could give both of u medals T.T
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