Question

Create a program that will calculate the area under the curve of a function using Riemann Sums (Right-Handed Version).

Input will be: the user's desired function and B,A, and n

Answer 1

To calculate the area under the curve of a function using Riemann Sums (Right-Handed Version), divide the interval into subintervals, evaluate the function at the right endpoint of each subinterval, and multiply it by the width. Sum up these products to find the total area under the curve.

Step-by-step explanation:

To calculate the area under the curve of a function using Riemann Sums (Right-Handed Version), you would need to divide the interval [A, B] into smaller subintervals, with a width of (B - A) / n. Then, you would evaluate the function at the right endpoint of each subinterval and multiply it by the width of the interval. Finally, sum up these products to find the total area under the curve.For example, if the function is f(x) = x^2 and the interval is [0, 1] with n = 4, you would divide the interval into subintervals of width 0.25. The right endpoints would be 0.25, 0.5, 0.75, and 1. Evaluating the function at these points gives you the values 0.0625, 0.25, 0.5625, and 1. Add up these values multiplied by 0.25 to find the area under the curve, which is 0.46875.