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Math Help - Evaluate the integral.

  1. #1
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    Evaluate the integral.

    Q: Evaluate the integral by interpreting it in terms of areas. (draw a picture of the region the integral represents, and find the area using high school geometry)

    \int_0^{3}|4x-3|dx

    when x = 0, y = 3
    when y = 0, x = 3/4

    the base of the triangle is 3/4, height is 9
    (1/2) base*height
    =
    (1/2)(3/4)(9)
    = 10.125
    answer seems to be wrong.
    Last edited by viet; November 21st 2006 at 10:27 PM. Reason: typo
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by viet View Post
    Q: Evaluate the integral by interpreting it in terms of areas. (draw a picture of the region the integral represents, and find the area using high school geometry)

    \int_0^{3}|4x-3|dx

    when x = 0, y = 3
    when y = 0, x = 3/4

    the base of the triangle is 3/4, height is 9
    (1/2) base*height
    =
    (1/2)(3/4)(9)
    = 10.125
    answer seems to be wrong.

    Sketch the function. In the attachment the area you seek is shaded.

    RonL
    Attached Thumbnails Attached Thumbnails Evaluate the integral.-gash.jpg  
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  3. #3
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    got it thanks CaptainBlack
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