Calculus-Aproximate Areas

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Estimate the area under the graph of
f(x)=sin(pix) from x=0 to x=1 using the areas of 3 rectangles of equal width, with heights of the rectangles determined by the height of the curve at

a) left endpoint:
b) right endpoint:

  • Calculus-Aproximate Areas -

    what's the trouble?

    You have 3 rectangles, each of width 1/3
    Using left endpoints, the heights are
    0,√3/2,√3/2
    add up the rectangle areas.

    Similarly, using right endpoints.

  • Calculus-Aproximate Areas -

    I tried that, and it was incorrect

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