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integration

posted by on .

Find the area of the region under the graph of the function f on the interval [-1, 2].
f(x) = 6x + 1

bound by the x axis

  • integration - ,

    Peter, if you are the "anonymous" of
    http://www.jiskha.com/display.cgi?id=1291829564
    you did not follow my instructions.

    the line crosses at x = -1/6, so if the x-axis is the boundary, there are 2 different triangles to consider

    left triangle:
    base = 5/6
    height = 5, Area = (1/2)(5/6)(5) = 25/12

    right triangle:
    base = 13/6
    height = 13 , Area = (1/2)(13/6)(13) = 169/12

    total = 25/12 + 169/12 = 97/6

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