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Question
Math
Posted 5 months ago
what is dx in left riemann sum
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Answer from Sia
Posted 5 months ago
Solution by Steps
step 1
Understand the concept of a Riemann sum
step 2
In the context of a left Riemann sum, dxdx represents the width of each rectangle used to approximate the area under a curve
step 3
If we are approximating the integral over an interval [a,b][a, b], and we divide this interval into nn equal subintervals, then dx=bandx = \frac{b - a}{n}
step 4
The left Riemann sum uses the left endpoints of these subintervals to calculate the height of the rectangles
Answer
dx=bandx = \frac{b - a}{n}
Key Concept
Width of Subintervals in Riemann Sums
Explanation
In a left Riemann sum, dxdx is the width of each subinterval used to approximate the area under a curve, calculated by dividing the total interval length by the number of subintervals.

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