Approximate the value of integral of exp (-x^2) over interval of (0,3)
We are asked to approximate the definite integral `int_(0)^(3) e^(-x^2)dx`
One method is to use upper and lower sums. We divide the region into n rectangles bounded by the x-axis and the curve such that the widths of the rectangles is `Delta x` and the height of the rectangles is determined by the value of the function within the interval defined by the width of the rectangle.
For the upper sum we choose the largest value in the interval and for the lower sum we choose the smallest value. The given function is decreasing on [0,3] so the largest value is the left endpoint of the interval, and the smallest value is the right...
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