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amorfide

  • 3 years ago

is anyone able to do a quick lesson on integration by parts?

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  1. experimentX
    • 3 years ago
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    let \( u \) and \(v\) be two functions of x, \[ \int u(x) \; v(x) \;dx = u(x) \int v(x) dx - \int {d\over dx}u(x) \left [ \int v(x) dx \right ] dx \\= v(x) \int u(x) dx - \int {d\over dx}v(x) \left [ \int u(x) dx \right ] dx\] Rest is pratice!!

  2. amorfide
    • 3 years ago
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    |dw:1350493812184:dw| is that the integral of the derivative of v(x)? lol

  3. experimentX
    • 3 years ago
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    try few examples |dw:1350493861755:dw|

  4. experimentX
    • 3 years ago
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    yeah ... but that is multiplied by another integral ... and dx appears at last.

  5. experimentX
    • 3 years ago
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    |dw:1350494046804:dw|

  6. amorfide
    • 3 years ago
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    so in words it would be (second x integral of first) - (integral of (derivative of second x integral of first))

  7. experimentX
    • 3 years ago
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    yep .. you can interchange first and second though. suit yourself according to the problem.

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