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alfers101
 3 years ago
integratation of power of sines and cosines:
∫ sin^4 xcos^2xdx
alfers101
 3 years ago
integratation of power of sines and cosines: ∫ sin^4 xcos^2xdx

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marsss
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ \cos ^{5}x }{ 5 }+\frac{ \cos ^{7}x }{ 7 }+c\]

alfers101
 3 years ago
Best ResponseYou've already chosen the best response.0how come? what case did you used? is it case 2?

marsss
 3 years ago
Best ResponseYou've already chosen the best response.1bak reyiz, cos^2 x=1sin^2 x. biliyon mu bunu??

alfers101
 3 years ago
Best ResponseYou've already chosen the best response.0what? im sorry i cant understant your language, could you speak in english please?

alfers101
 3 years ago
Best ResponseYou've already chosen the best response.0can someone please help me? :(

Callisto
 3 years ago
Best ResponseYou've already chosen the best response.2I think it's not like what marsss did there... \[∫ sin^4 xcos^2xdx\]\[=∫ sin^4 x(1sin^2x)dx\]\[=∫ sin^4xsin^6xdx\]\[=∫ (sin^2x)^2dx∫(sin^2x)^3dx\]\[=\frac{1}{4}∫ (1cos2x)^2dx\frac{1}{8}∫(1cos2x)^3dx\]\[=\frac{1}{4}∫ (12cos2x+cos^22x)dx\frac{1}{8}∫(13cos2x+3cos^22xcos^32x)dx\] Reduce the power of cosine into 1 using doucle angle formula, except for cos^3(2x). Good luck :
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