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Math Help - elementary integration

  1. #1
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    elementary integration

    How do I integrate |x-3| from 0 to 6?
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  2. #2
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    Quote Originally Posted by Esiuol View Post
    How do I integrate |x-3| from 0 to 6?
    \int_0^6 |x-3| dx = \int_0^3 |x-3| dx + \int_3^6 |x-3|dx
    \int_0^3 -(x-3) dx + \int_3^6 x-3dx
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  3. #3
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    Hello, Esiuol!

    How do I integrate: . \int^6_0 |x-3|\,dx

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

    Code:
              |
            \ |                 /
             3*               *
              |:\           /:|
              |:::\       /:::|
              |:::::\ - /:::::|
          - - + - - - * - - - + - -
              |       3       6
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