#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Riemann Sum Calculator - Online Calculator - Tutorpace

# Riemann Sum Calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

Riemann integral sums are used to calculate area under the curve. We can calculate Riemann sum with various approaches.

1)     Lefts sum
2)     Right sums
3)     Mid-point sums

All value may be different but they represent a same quantity an approximated area under the curve.

Example 1: calculate Riemann sum for y = x^2 over the interval [0, 2] for 4 equal intervals. Example 2: calculate Riemann sum of the function f(x) = 5x – x^2 using mid-point approach over the interval [1, 4] for 3 equal

intervals.

We have a =  1, b = 4 and n = 3 intervals would be (1, 2) (2, 3) (3, 4) midpoint of each interval is ½ , 3/2 and 5/2. 