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Easy: Left and right sums
Split the interval into n equal strips of width Δx. A Riemann sum adds the areas of rectangles: their heights come from the left ends, the right ends or the midpoints of the strips. The trapezoidal rule uses trapezoids instead: Δx ÷ 2 × (first + 2 × each middle value + last).
Approximate the area under the curve.
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They differ in where each rectangle's height is measured: at the left end, the right end or the middle of each subinterval.
When the function is decreasing: the left end of each subinterval is the highest point, so each rectangle sticks out above the curve.
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