Question

Express the integral as a limit of Riemann sums using a calculator?

Answer 1

To express the integral as a limit of Riemann sums using a calculator, follow these steps: divide the interval, choose sample points, evaluate the function, multiply by the width, and add the products. As n approaches infinity, the Riemann sum converges to the definite integral.

Step-by-step explanation:

To express the integral as a limit of Riemann sums using a calculator, we need to follow a few steps:

1. Divide the interval into n equal-sized subintervals.
2. Choose a sample point in each subinterval and evaluate the function at that point.
3. Multiply the width of each subinterval by the value of the function at the corresponding sample point.
4. Add up all the resulting products to get the Riemann sum.
5. As n approaches infinity, the Riemann sum converges to the definite integral.

By using a calculator, we can easily evaluate the Riemann sum for a given function and interval.