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Calculus (Integral and Differential) CHEAT SHEET

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Below is a cheatsheet for the most common calculus formulas. This is for BOTH Integral and Differential Calculus.

Source: https://tutorial.math.lamar.edu/pdf/calculus_cheat_sheet_all.pdf  

Integral Basics

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Basic Properties, Common Integrals

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Standard Integration TechniquesUploaded Image

Products/Quotients of Trigonometric (Trig) Functions

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Trig Substitutions

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Partial Fractions

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Limits

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Properties of Limits, Limit Evaluations

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Evaluation Techniques, L'Hospital's Rule, Continuous Functions and Composition, Piecewise Function

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Derivatives

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Common Derivative Formulas

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Chain Rule, Higher Order Derivatives

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Implicit Differentiation, Concave Up, Concave Down

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Extrema, Fermat's Theorem, Extreme Value Theorem, Absolute/Relative Extrema

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Related Rates

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Applications of Integral Calculus

Net Area, Area Between Curves, Volumes of Revolution

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Work, Average Function Value, Arc Length Surface Area

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Improper Integral

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Approximating Definite Integrals

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