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Math Help - Integration problem

  1. #1
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    Integration problem

    I'm blanking out on this one..

    integral from -1 to 3 of..

    sq.root(1 + (2x-5)^2)

    Don't need you guys to do it, just give me a hint on how to go about it.. this is probably easy, I'm just blanking out
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  2. #2
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    Quote Originally Posted by coolguy99 View Post
    I'm blanking out on this one..

    integral from -1 to 3 of..

    sq.root(1 + (2x-5)^2)

    Don't need you guys to do it, just give me a hint on how to go about it.. this is probably easy, I'm just blanking out
    let 2x-5=\tan(\theta) \implies 2dx=\sec^{2}(\theta)d\theta
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by coolguy99 View Post
    I'm blanking out on this one..

    integral from -1 to 3 of..

    sq.root(1 + (2x-5)^2)

    Don't need you guys to do it, just give me a hint on how to go about it.. this is probably easy, I'm just blanking out
    Let 2x-5=\tan\theta. It should be straightforward from there.
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  4. #4
    MHF Contributor Reckoner's Avatar
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    Quote Originally Posted by coolguy99 View Post
    I'm blanking out on this one..

    integral from -1 to 3 of..

    sq.root(1 + (2x-5)^2)

    Don't need you guys to do it, just give me a hint on how to go about it.. this is probably easy, I'm just blanking out
    \int_{-1}^3\sqrt{1+(2x-5)^2}\,dx

    Substitute 2x-5=\tan\theta\Rightarrow dx=\frac12\sec^2\theta\,d\theta.

    Edit: Curses! I've been beaten!
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