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lands91
 2 years ago
((sin^(5)x)/5)((Sin^(7)x)/7)+c need to make it come out to this solution. (1/70)sin5(x)(5cos(2x)+9)+c
lands91
 2 years ago
((sin^(5)x)/5)((Sin^(7)x)/7)+c need to make it come out to this solution. (1/70)sin5(x)(5cos(2x)+9)+c

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lands91
 2 years ago
Best ResponseYou've already chosen the best response.0original integral \[\cos ^{3}xsin ^{4}x\] got the solution with some help of \[\frac{ \sin ^{5}x }{ 5 }\frac{ \sin ^{7}x }{ 7 } +c\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2ok, what you get after factoring out sin^5 x ?

lands91
 2 years ago
Best ResponseYou've already chosen the best response.0thats about where I get lost

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2that is just sin^2 x \(\large \frac{ \sin ^{5}x }{ 5 }\frac{ \sin ^{7}x }{ 7 } = \sin^5 x[\frac{ 1 }{ 5 }\frac{ \sin ^{2}x }{ 7 }] \\ \huge =\sin^5 x[\frac{ 1 }{ 5 }\frac{ \dfrac{1\cos 2x}{2} }{ 7 }] \\ \huge \\ \huge =\sin^5 x[\frac{ 1 }{ 5 }\dfrac{1\cos 2x}{14} ] \)

lands91
 2 years ago
Best ResponseYou've already chosen the best response.0do u just multiple the sin5x back into it now

lands91
 2 years ago
Best ResponseYou've already chosen the best response.0or do i set a common denominator of 70

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2set a common denominator of 70

lands91
 2 years ago
Best ResponseYou've already chosen the best response.0awesome. I see it now. was just over analysis of it. thank you

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2i hope you'll get exactly what you want, welcome ^_^
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