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((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
 one year ago
 one year 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
 one year ago
 one year ago

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lands91Best ResponseYou've already chosen the best response.0
original integral \[\cos ^{3}xsin ^{4}x\] got the solution with some help of \[\frac{ \sin ^{5}x }{ 5 }\frac{ \sin ^{7}x }{ 7 } +c\]
 one year ago

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

lands91Best ResponseYou've already chosen the best response.0
thats about where I get lost
 one year ago

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

lands91Best ResponseYou've already chosen the best response.0
do u just multiple the sin5x back into it now
 one year ago

lands91Best ResponseYou've already chosen the best response.0
or do i set a common denominator of 70
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
set a common denominator of 70
 one year ago

lands91Best ResponseYou've already chosen the best response.0
which makes more sense
 one year ago

lands91Best ResponseYou've already chosen the best response.0
awesome. I see it now. was just over analysis of it. thank you
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
i hope you'll get exactly what you want, welcome ^_^
 one year ago
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