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sirm3d Group TitleBest ResponseYou've already chosen the best response.0
do you know the reduction formula for \[\int \cos^n x \,\mathrm dx\]
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
reduction?? nope...
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
first simplify cos^3 x in terms of cosine of 3x and x and then integrate by parts
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
i don't think here u should use reduction formula
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
its \[\cos ^3 x\] .. where did u get 3x and x @matricked
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
use cos3x =4 cos^3 (x)  3cos x
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
why not? it solves the problem too, but the solution may not be attractive to @bii17
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
i mean use cos^3 (x) =1/4 *(cos3x +3cosx)
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
oh okay.. then what will happen next ? @matricked
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
and then use by parts
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
\[1/4 [x(\cos 3x + 3\cos x)]dx\] is this correct? @matricked
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
so there will be u and du den dv and v... i used Dv as cos 3x dx the V will be 1/3 sin 3x ???
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.1
for both integration of 1/4 *xcos3x take x as the first function
 one year ago

bii17 Group TitleBest ResponseYou've already chosen the best response.0
i get it.. thanks a lot :) @matricked
 one year ago
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