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

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karisosBest ResponseYou've already chosen the best response.0
\[\int\limits 5(3x^27)\sin^5(x^37x)\cos(x^37x)dx\]
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
u= x^3−7x du = 3x^27 dx
 one year ago

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

Algebraic!Best ResponseYou've already chosen the best response.1
v =sin (u) dv = cos(u) du
 one year ago

LilithBest ResponseYou've already chosen the best response.0
so the answer would be \[5sin^6(x^37x)\]
 one year ago

karisosBest ResponseYou've already chosen the best response.0
Makes sense... THANK YOU BOTH!! ^_^
 one year ago

karisosBest ResponseYou've already chosen the best response.0
T.T i thought i could give both of u medals T.T
 one year ago
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