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emilyoo Group Title

simple integration by substitution: 6-5sin(2x)

  • one year ago
  • one year ago

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  1. emilyoo Group Title
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    |dw:1358068473382:dw|

    • one year ago
  2. emilyoo Group Title
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    this is how far i got

    • one year ago
  3. AravindG Group Title
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    t=sin x would do it

    • one year ago
  4. AravindG Group Title
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    because derivative of sinx (ie cos x ) is readily available!

    • one year ago
  5. wio Group Title
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    you don't even need to use that trig identity by the way.

    • one year ago
  6. wio Group Title
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    just let \(u=2x\) in the original integral, it'd work fine.

    • one year ago
  7. klimenkov Group Title
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    \(\int (6-5\cdot2\sin x \cos x)dx=\int6dx-10\int\sin x \cos xdx\). Try to make a substitution \(t=\sin x,\quad dt=\cos x\). Good luck.

    • one year ago
  8. AravindG Group Title
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    @wio'smethod is the simplest :)

    • one year ago
  9. wio Group Title
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    \[ \int \sin(2x)dx = \int \sin(u)\frac{ du}{2} \]

    • one year ago
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