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kaiz122 Group TitleBest ResponseYou've already chosen the best response.0
dw:1339945551113:dw
 2 years ago

SuckMyEsophagus Group TitleBest ResponseYou've already chosen the best response.0
Let u = cos x du = sin x dx then, "integral [u^3 du]" or " integral [u^3 du] " = (u^4)/4 + C = (cos^4 x)/4 + C
 2 years ago

kaiz122 Group TitleBest ResponseYou've already chosen the best response.0
i have a question, sin x is in the denominator, how does it become the du then?
 2 years ago

SuckMyEsophagus Group TitleBest ResponseYou've already chosen the best response.0
Because everything is substituted and then flipped :)
 2 years ago

kaiz122 Group TitleBest ResponseYou've already chosen the best response.0
i tried checking it by differentiation, then i got (cos^3x )(sinx)
 2 years ago

SuckMyEsophagus Group TitleBest ResponseYou've already chosen the best response.0
Are you using your calculator?
 2 years ago

SuckMyEsophagus Group TitleBest ResponseYou've already chosen the best response.0
You can integrate this directly, just notice that differentiating cos^4(x) gives you 4cos^3(x)sin(x) by the chain rule. Hence the integral of cos^3(x)sin(x) is 1/4 cos^4(x)
 2 years ago

kaiz122 Group TitleBest ResponseYou've already chosen the best response.0
i still don't get it, how does sin x in the denominator becomes du? dx/sinx is not equal to sinx dx right.
 2 years ago

SuckMyEsophagus Group TitleBest ResponseYou've already chosen the best response.0
No their not the equal
 2 years ago

kaiz122 Group TitleBest ResponseYou've already chosen the best response.0
@saifoo.khan can you please help me here
 2 years ago

saifoo.khan Group TitleBest ResponseYou've already chosen the best response.0
@dpaInc HELP!!!!!
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.2
dw:1339951134590:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
oh i was late :(
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
use @AravindG if u have any integration qns in future
 2 years ago
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