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math 31 formula sheet 2

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Math 31 (Calculus) Formula Sheet:
Reciprocal Identities
Quotient Identities
Addition & Subtraction
Pythagorean Identities
Double Angle Identities
Squares of Sine and
Cosine
Related and Co-Related Angle Identities
Limits and Derivatives of Trigonometric Functions
Fundamental Limit 
.
Derivatives of Trigonometric Functions
Domain Restrictions for Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Table of Derivatives (Differentiation Rules)
Sums of Series
Table of Integrals (Anti-derivatives)
Calculating Area using Limits 
(Definite Integrals)
.
.
Properties of Integrals
Substitution Rule for Indefinite Integrals
Volumes of Revolution
Fundamental Theorem of Calculus
If f is continuous on interval [a, b], then
where F is any antiderivative of f
Integration by Parts in Differential Notation
For curve sketching, remember to...
1) Find Domain of the function
2) X and Y intercepts
3) Symmetry of function
4) See if any asymptotes exist
5) Intervals of Increase / Decrease
6) Maximum & Minimum values
7) Concavity & Points of Inflection
8) Sketch the graph
Good Luck on your examination!
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