Question

Math

Posted 5 months ago

`what is dx in left riemann sum`

Sign in to unlock the answer

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, $dx$ 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 $[a, b]$, and we divide this interval into $n$ equal subintervals, then $dx = \frac{b - a}{n}$

step 4

The left Riemann sum uses the left endpoints of these subintervals to calculate the height of the rectangles

Answer

$dx = \frac{b - a}{n}$

Key Concept

Width of Subintervals in Riemann Sums

Explanation

In a left Riemann sum, $dx$ 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.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question