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Math Help - Integrating Absolute values

  1. #1
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    Integrating Absolute values

    Hello
    im stuck with this problem and badly need help:
    \int_{-3}^{3} \sqrt{3+|x|} dx
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    Hello
    im stuck with this problem and badly need help:
    \int_{-3}^{3} \sqrt{3+|x|} dx
     \int_{-3}^{3} \sqrt{3+|x|} dx=\int_{-3}^{0} \sqrt{3-x}~ dx + \int_{0}^{3} \sqrt{3+x}~ dx

    RonL
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  3. #3
    Eater of Worlds
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    Good morning Adam:

    You can break it up into two integrals. That's mostly the best with an absolute value.

    Since it's symmetrical about the y-axis:

    2\int_{0}^{3}\sqrt{3+x}dx

    Or

    \int_{-3}^{0}\sqrt{3-x}dx+\int_{0}^{3}\sqrt{3+x}dx
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  4. #4
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    thanks!
    good morning
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