“Teach A Level Maths”
Vol. 1: AS Core Modules
24: Indefinite Integration
© Christine Crisp
, Indefinite Integration
Module C1 Module C2
AQA MEI/OCR
Edexcel OCR
"Certain images and/or photos on this presentation are the copyrighted property of JupiterImages and are being used with
permission under license. These images and/or photos may not be copied or downloaded without permission from JupiterImages"
, Indefinite Integration
We first need to consider an example of differentiation
2 2
e.g.1 Differentiate (a) y x 3 (b) y x 1
2 dy
(a) y x 3 2 x
dx
Equal !
(b) y x 2 1
dy
2 x
dx
The gradient functions are the same since the graph
2 2
of y x 1 is a just a translation of y x 3
Vol. 1: AS Core Modules
24: Indefinite Integration
© Christine Crisp
, Indefinite Integration
Module C1 Module C2
AQA MEI/OCR
Edexcel OCR
"Certain images and/or photos on this presentation are the copyrighted property of JupiterImages and are being used with
permission under license. These images and/or photos may not be copied or downloaded without permission from JupiterImages"
, Indefinite Integration
We first need to consider an example of differentiation
2 2
e.g.1 Differentiate (a) y x 3 (b) y x 1
2 dy
(a) y x 3 2 x
dx
Equal !
(b) y x 2 1
dy
2 x
dx
The gradient functions are the same since the graph
2 2
of y x 1 is a just a translation of y x 3