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ZeroAT

  • one year ago

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

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  1. Spacelimbus
    • one year ago
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    Do you know what the derivate of \[\Large \sin(3x)  \] is?

  2. Spacelimbus
    • one year ago
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    derivative*

  3. geerky42
    • one year ago
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    HINT: Let u be sin(3x).

  4. ZeroAT
    • one year ago
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    How do you choose what to let u be? In this case you choose sin(3x) but why?

  5. Spacelimbus
    • one year ago
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    Takes 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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