Summary
Summary OCR MEI Mathematics: Year 1 (AS) Pure - Integration Cheat Sheet
- Institution
- OCR
This document briefly summarises the key points in the Year 1 'Integration' topic of OCR's Mathematics (MEI) course.
[Show more]
1 review
By: tsmith3553 • 1 year ago
Content preview
IntegrationReversing Differentiation
● Integration is the inverse function to differentiation
● If you are given the derivative function and want to find the original
function you must integrate (also called solving a differential equation)
● Shown by the sign ∫
Basic Rules
xn+1
∫ xn = n+1 + c
kxn+1
∫ kxn = n+1 + c
Finding the Constant
● When integrating indefinitely (ie when you’re not given points between
which to integrate) you do not know the constant
● To find the constant, substituting given information
● E.G substituting given x-value to get a given y-value and solving for c
● Also called finding the particular solution of a differential equation
Definite Integration
● Integration finds the area under a curve
● Often useful to find the area between two points on a curve
b
● Called definite integration and is shown by the sign ∫ (where you
a
integrating between a and b )
● Found by finding the original function by integrating - call it g(x) - and by
finding g(b) - g(a)
● Will get a number - negative number means majority of the curve is below
the x-axis, positive number means majority of the curve is above the x-axis
Courtesy of Maths Mutt
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller JodbyBerundi. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £0.00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75323 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now