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Ch 6.2 Antidifferentiation by Substitution Calculus Graphical, Numerical, Algebraic by Finney , Demana, Waits and Ke

Ch 6.2 Antidifferentiation by Substitution Calculus Graphical, Numerical, Algebraic by Finney , Demana, Waits and Kennedy. Indefinite Integral. Indefinite Integral: The family of all antiderivatives of a function f(x) is the indefinite integral of f with respect to x and is denoted by .

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Ch 6.2 Antidifferentiation by Substitution Calculus Graphical, Numerical, Algebraic by Finney , Demana, Waits and Ke

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  1. Ch 6.2 Antidifferentiation by SubstitutionCalculus Graphical, Numerical, Algebraicby Finney, Demana, Waits and Kennedy

  2. Indefinite Integral Indefinite Integral: The family of all antiderivatives of a function f(x) is the indefinite integral of f with respect to x and is denoted by Variable of Integration Integral Integrand

  3. If F is any function such that F’(x) = f(x), then = F(x) + C where C is a constant, called the constant of integration.

  4. Evaluating an Indefinite Integral

  5. Evaluating an Indefinite Integral

  6. Example Using Substitution

  7. Example Using Substitution

  8. Example Using Substitution

  9. Example Using Substitution

  10. Substitution with a Trig Identity

  11. Substitution with a Trig Identity

  12. Definite Integral & Substitution

  13. Definite Integral & Substitution

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