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appleduardo

  • 3 years ago

whats the integral for dx/x^2 + 16 ?

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  1. wio
    • 3 years ago
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    Trig sub perhaps?

  2. appleduardo
    • 3 years ago
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    i thinks its \[\frac{ \ln (x ^{2} +16)}{ 2 }+C\]

  3. wio
    • 3 years ago
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    \[ x=4\tan\theta \]

  4. wio
    • 3 years ago
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    This is it right?\[ \int \frac{dx}{x^2+16} \]

  5. appleduardo
    • 3 years ago
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    yep!

  6. wio
    • 3 years ago
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    Wanna do a trig sub. You can't do the \(\ln(\;)\) thing unless the denominator is linear.

  7. wio
    • 3 years ago
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    \[ x=4\tan\theta,\,dx=4\sec^2\theta \,d\theta \]

  8. wio
    • 3 years ago
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    Try this substitution and see what happens.

  9. appleduardo
    • 3 years ago
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    i'll doit, thanks!

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