This is a subtopic of Integrate

MER Tag Riemann sum

Typically, the following formulas will be useful

${\displaystyle \sum _{i=1}^{n}i={\frac {n(n+1)}{2}}\qquad \sum _{i=1}^{n}i^{2}={\frac {n(n+1)(2n+1)}{6}}\qquad \sum _{i=1}^{n}i^{3}=\left({\frac {n(n+1)}{2}}\right)^{2}}$

Pencasts/videos brought to you by Carmen Bruni. Use Google Chrome to view if you are having difficulties.

Some pencasts on Riemann sum notation and on converting Riemann sums to definite integrals.

File:Play in Youtube.png The basics of the definite integral and Riemann sums

The basics of the definite integral and Riemann sums

This video is brought to you PatrickJMT

File:Play in Youtube.png The rectangle method

The rectangle method

Approximating area under a curve (definite integral) using rectangles.

This video is brought to you PatrickJMT

File:Play in Youtube.png An example computation (Part 1)

An example computation (Part 1)

A two part series on computing definite integrals using Riemann sums.

This video is brought to you PatrickJMT

File:Play in Youtube.png An example computation (Part 2)

An example computation (Part 2)

A two part series on computing definite integrals using Riemann sums.

This video is brought to you PatrickJMT

All related exam questions with easiness rating (total number of votes)

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