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Thread: Conceptual Integrations

  1. #1
    Junior Member Selim's Avatar
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    Conceptual Integrations

    To integrate \int\sqrt{a^2-x^2} you will let x = ...

    To integrate \int\sqrt{x^2-a^2} you will let x = ...

    To integrate \int\sqrt{x^2+a^2} you will let x = ...

    I'm not sure if I'm meant to derive these or just know them. Either way, I'm screwed.
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  2. #2
    Master Of Puppets
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    Just know them, google 'trigonometric substitution for integration'
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  3. #3
    MHF Contributor
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    Quote Originally Posted by Selim View Post
    To integrate \int\sqrt{a^2-x^2} you will let x = ...

    To integrate \int\sqrt{x^2-a^2} you will let x = ...

    To integrate \int\sqrt{x^2+a^2} you will let x = ...

    I'm not sure if I'm meant to derive these or just know them. Either way, I'm screwed.
    these all lead to trig substitutions.

    8. Integration by Trigonometric Substitution
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