Riemann Sum Calculator

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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


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. 

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