Midpoint Rule Numerical integration using python

I created a program to evaluate definite integrals using the Midpoint Rule.

Firstly, the midpoint rule states that:

Since evaluating definite integrals using the midpoint rule is a repetitious method, it would be best if a program would do it. Increasing the value of n would increase the integral's accuracy, but it would be more difficult to do by hand.

Here is my python code for the definite integral of sin2(x)\sin^2(x). You can change the function in the code to integrate any function you want. Increasing the number of midpoints increases accuracy.


Note by Kao Cen Darach
1 year, 2 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}


Sort by:

Top Newest

Chromosome 7 open reading frame 24 (C7orf24) was originally identified as a highly expressed protein in various types of cancer, and was later shown to γ-glutamylcyclotransferase (GGCT). GGCT depletion in cancer cells has an anti-proliferative effect in vitro and in vivo, and thus it is considered a promising candidate as a therapeutic target.


Wendy Wilson - 6 months ago

Log in to reply

Who else does homework these days? It's boring and you get nothing in return. I've been playing in a casino for money slots NetEnt https://slots-russia.com/igrovie-avtomaty-netent ot for three years, already earned more than I could imagine.

Olia Riona - 3 months ago

Log in to reply

It is really so hard. When I was a student, I hated math. My advice: buy college essays about math and don`t torture yourself. Site https://edubirdie.com/buy-college-essays helps me in my student life, especially when I start work. Now my friends-students also use this resource. This is a quality and cheap way to help yourself in your studies and not spend a lot of time.

Jeff Morrison - 8 months, 4 weeks ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...