Use the definition of the definite integral to evaluate ∫30(2x−1)dx. Use a right-endpoint approximation to generate the Riemann sum.

Question

Use the definition of the definite integral to evaluate ∫30(2x−1)dx Use a right-endpoint approximation to generate the Riemann sum.

I am confused on how to start this and the steps involved since the only problem I have seen that asks me to calculate riemann sum is a x^2 example.

Answer 1

Since the high and low are =; ∫30(2x−1)dx=0.

Answer 2

Bri

The idea of a Riemann sum is to divide the area found by integration into strips, and estimate the area of the strips as the width of the strip multiplied by f(x) at the right end of the strip, then adding up the area of all the strips.

So this works whatever the function is.

So if the function is f(x) = x² . you evaluate x² at the right hand end of each interval.

Here you evaluate 30 (2x-1) at the right hand end of each interval, using the same principle.

Hope this helps. Add a comment if you need more help.

Mike