# How to find left riemann sum with a table

In this blog post, we will take a look at How to find left riemann sum with a table.

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## Riemann Sums

Use a left-hand Riemann sum to approximate the integral based off the values in the table. The values used are the Integral from 0 to 10 of f (x) dx where x=0,2,5,7,10 and f

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## Riemann Sum

Δx = 5 −1 4 = 1 Note that we have a fixed interval (strictly speaking a Riemann sum can have a varying sized partition width). The values of the function are tabulated as follows;

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## 5.3 Integration and Riemann Sums

To calculate the Left Riemann Sum, utilize the following equations: 1.) A r e a = Δ x [ f ( a) + f ( a + Δ x) + f ( a + 2 Δ x) + ⋯ + f ( b − Δ x)] 2.) Δ x = b − a n

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