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anonymous
 4 years ago
Integral sin(2x) (cos(x))^2 dx
Substitution rule o by parts ?
anonymous
 4 years ago
Integral sin(2x) (cos(x))^2 dx Substitution rule o by parts ?

This Question is Closed

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1sin(2x)=2sin(x)cos(x) use this

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[2 \int\limits_{}^{}\sin(x)(\cos(x))^3 dx\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1let me know if you need more help

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1great! you got the rest? :)

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1ok well just let me know if you run into troubles

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the solution is 1/2cos^4 (x) +c

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[u=\cos(x)\] => \[ du=\sin(x) dx\] \[2 \int\limits_{}^{} u^3 du=2 \cdot \frac{u^4}{4}+C=\frac{1}{2} u^4+C=\frac{1}{2}\cos^4(x)+C\]
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