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Integrals. The re-construction of a function from its derivative is anti-differentiation integration OR.

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Presentation on theme: "Integrals. The re-construction of a function from its derivative is anti-differentiation integration OR."— Presentation transcript:

1 Integrals

2 The re-construction of a function from its derivative is anti-differentiation integration OR

3 So…

4 Find the anti-derivative of 3x 2

5 Power Rule for Derivatives 1. Multiply by the exponent 2. Subtract 1 from exponent Anti-derivative is opposite Divide Add 1. 2.

6 Power Rule for Integrals 1. Add 1 to the exponent 2. Divide by the exponent

7 Power Rule for Integrals 1. Add 1 to the exponent 2. Divide by the exponent

8 Power Rule for Anti-Derivatives 1. Add 1 to the exponent 2. Divide by the exponent

9 Anti-Derivatives from Definitions Since then Since then

10 Properties of integrals Like with derivatives

11 Properties of integrals Like with derivatives

12 Properties of integrals

13

14 Since we are given the derivative of cost, we need to do the anti-derivative to find cost.

15


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