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Math Help - integral

  1. #1
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    integral

    integral involving absoulte value
    Attached Thumbnails Attached Thumbnails integral-integral12.jpg  
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  2. #2
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    When dealing with an absolute value, it usually helps to break it into two integrals.

    But the region is symmetric, so just multiply by two

    2\int_{3}^{4}(x-3)dx
    Last edited by galactus; November 24th 2008 at 06:38 AM.
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  3. #3
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    thank you for the very nice sketch.

    after reviewing your suggestions, am I correct in saying that the integral equates to 1.
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  4. #4
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    Hello, DINOCALC09!

    If you make a sketch, you don't need Calculus!


    \int^4_2|x - 3|\,dx
    Code:
          |
          \
          | \
          |   \
          |     \                       /
          |       \                   /
          |         \               /
          |           \           /
          |           |:\       /:|
          |           |:::\   /:::|
        - + - - + - - + - - * - - + - - + - -
                1     2     3     4     5

    Got it?

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  5. #5
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    i just find the area of the two triangles. correct?
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