(a) Estimate the area under the graph of F(x) = cos(x) from x = 0 to x=pi/2 using four approximating rectangles and right endpoints, sketch the graph and the rectangles, and determine if your estimate
is an underestimate or an overestimate.
Rectangle areas are found by calculating height x width.
The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the
right-hand side of the rectangle.
So we must calculate
R-Rx,)AX - [Rxg) + Fx2) + (x3) + Axa] Ax
where xq Xgo *zo X4 represent the right-hand endpoints of four equal subintervals of
Since we wish to estimate the area over the intervalo.
EN
using 4 rectangles of equal widths, then each
rectangle will have width 4x =
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