# Lecture 7 - CC2053 Calculus 7 Introduction to Calculus and...

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1 CC2053: Calculus 7 Introduction to Calculus and Linear Algebra 2011/2012 Semester 1 INTEGRATION: Anti-Derivative and Indefinite Integrals

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2 CC2053: Calculus 7 Antiderivative A function F ( x ) for which for every x in the domain f is said to be an antiderivative of f ( x )
3 CC2053: Calculus 7 Antiderivatives and Indefinite Integrals is called the indefinite integral, represents the family of all antiderivatives of if

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4 CC2053: Calculus 7 Rules for Integrating Common Functions For k and C constants 1. The constant rule 2. The power rule 3. The logarithmic rule 4. The exponential rule for for for all x 0
5 CC2053: Calculus 7 Rules for Integrating Common Functions For C constant 5. Sine function 6. Cosine function

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6 CC2053: Calculus 7 Example 1 Find the following integrals: a . b . e. d . c .
7 CC2053: Calculus 7 Example 1:- solution a . b . e. d . c .

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8 CC2053: Calculus 7 Algebraic Rules for Indefinite Integration 6. The constant multiple rule 7. The sum and difference rule
CC2053: Calculus 7 Example 2 Find the following integrals: a. b. c.

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Lecture 7 - CC2053 Calculus 7 Introduction to Calculus and...

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