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Lecture 4

MAT136H1 Lecture Notes - Lecture 4: Mnemonic, Product Rule, Antiderivative


Department
Mathematics
Course Code
MAT136H1
Professor
Paul Milgram
Lecture
4

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MAT187H1 - Lecture 4 - 6.10 Hyperbolic Func & 7.1 Basic Approaches & 7.2 Integration by
Parts
6.10 Hyperbolic Functions (continued)
Review:
Derivatives Antiderivatives
Example using hyperbolic function
Q: What are these functions good for?
A: Example
y=arcsinhx(sinh1x)
⇔ x = sinh y
dy
dx =1
coshy =1
cosh (arcsinh x)
However:
coshy=
(cosh2ysinh2y=1)
dy
dx =d
dx (arcsinhx)
¿1
1
Note: solutions are not necessarily unique
Chapter 7 Integration Techniques
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