How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?

Davin Ellison

Davin Ellison

Answered question

2023-03-11

How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?

Answer & Explanation

matancer4e3

matancer4e3

Beginner2023-03-12Added 2 answers

f(x)=3x [a,b]=[1,5] and n=4
Δ x = b - a n = 5 - 1 4 = 1
The endpoints = 1,2,3,4,5
The left endpoints = 1,2,3,4
L 4 = f ( 1 ) Δ x + f ( 2 ) Δ x + f ( 3 ) Δ x + f ( 4 ) Δ x
The right endpoints = 2,3,4,5
R 4 = f ( 2 ) Δ x + f ( 3 ) Δ x + f ( 4 ) Δ x + f ( 5 ) Δ x

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