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Math Help - anti-derivative

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    Exclamation anti-derivative

    find the general anti derivatvives using substituion technique

    (integration sign) x square root x-3 dx
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    Quote Originally Posted by Sundevils View Post
    find the general anti derivatvives using substituion technique

    (integration sign) x square root x-3 dx
    \int x\sqrt{x - 3}~dx

    Let y = x - 3 \implies dy = dx

    \int x\sqrt{x - 3}~dx = \int (y + 3)\sqrt{y}~dy

    = \int (y^{3/2} + 3y^{1/2})~dy

    which you can finish yourself.

    -Dan
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