Problem 1 Approximate the area under with 4 rectangles using a) right hand rectangles, b) left hand rectangles, and c) midpoint rectangles.
a) Right hand rectangles
where is the x value where the rectangle touches the curve and is the width of the rectangle. So we can use summation notation for the sum,
where there are n rectangles. The sigma indicates that we are adding up terms with a particular format…in this case, function values time a width.