Learn why we get the area of a function by integrate it

AI Thread Summary
Understanding why integration provides the area under a curve is essential for grasping its mathematical significance. A recommended resource is a tutorial that clearly explains this concept, which can be found at the provided link. The discussion highlights that many users of integration may not fully comprehend its underlying principles. Additional insights into Riemann and Lebesgue integration are available in a shorter article linked in the thread. For further inquiries, participants are encouraged to engage in the Calculus Forum.
unseensoul
Messages
47
Reaction score
0
For those who want to understand why the integration of a function gives the area of it, you can take a look at...

http://www.mathsroom.co.uk/downloads/Integration-Area_Under_A_Curve.ppt"

I'm posting this because I think that not everyone who makes use of integration can really understand it. However, as it was very difficult to me to find such a good tutorial covering that aspect so well and clear, I am sharing it with those who are also interested in.
 
Last edited by a moderator:
Mathematics news on Phys.org
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Back
Top