Riemann Sums

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The methods for approximating definite integrals include the Left, Right, and Mid-Point Riemann Sum techniques. These approaches differ in how they approach the estimation of area under a curve by dividing it into several subintervals. The Left Riemann Sum uses the function value at the left endpoint of each subinterval, while the Right Riemann Sum employs the function value at the right endpoint. In contrast, the Mid-Point Riemann Sum applies the function value at the midpoint of each subinterval. These techniques provide varying levels of accuracy depending on the specific problem and the number of subintervals used in the approximation.