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ZeroAT
 3 years ago
Calculus  > Integral > Substitution
The question is sin 3x cos 3x dx
Solve it by integrating using substitution.
ZeroAT
 3 years ago
Calculus  > Integral > Substitution The question is sin 3x cos 3x dx Solve it by integrating using substitution.

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Spacelimbus
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know what the derivate of \[\Large \sin(3x) \] is?

geerky42
 3 years ago
Best ResponseYou've already chosen the best response.0HINT: Let u be sin(3x).

ZeroAT
 3 years ago
Best ResponseYou've already chosen the best response.0How do you choose what to let u be? In this case you choose sin(3x) but why?

Spacelimbus
 3 years ago
Best ResponseYou've already chosen the best response.0Takes some practice, but in case you consider taking u=cos(3x), that would also work. It's mainly about developing the idea of substitution. If you choose u=sin(3x) then: \[\Large \frac{du}{dx}=3\cos(3x) \]
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