Question

Find a formula for the Riemann sum 2x.

Answer 1

The formula for Riemann sum of 2x is R = ∑ 2xi Δx

Step-by-step explanation:

The formula for the Riemann sum of 2x can be found using the formula: R = ∑ f(xi) Δx. In this case, f(x) = 2x. Let's say we want to find the Riemann sum for the interval [a, b], where a and b are the lower and upper bounds, respectively, and n is the number of subintervals. The formula becomes: R = ∑ 2xi Δx. Here's a step-by-step process to find the Riemann sum:

1. Divide the interval [a, b] into n equal subintervals of width Δx = (b - a) / n.
2. Choose a point xi in each subinterval.
3. Calculate the value of the function at each point: f(xi) = 2xi.
4. Multiply each value by the width of the subinterval: 2xi Δx.
5. Sum up all the products: ∑ 2xi Δx.

So, the formula for the Riemann sum of 2x is: R = ∑ 2xi Δx.