Integrations and Its Applications

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Presentation transcript:

Integrations and Its Applications Chapter 5 Integrations and Its Applications

Definition of Antiderivative

Integral Notation of Antiderivatives

Basic Integration Rules

Figure 5.1

General Power Rule for Integration

Integrals of Exponential Functions

Integrals of Logarithmic Functions

Figure 5.5: Definition of a Definite Integral

Figure 5.8: Fundamental Theorem of Calculus

Guidelines for Using the Fundamental Theorem of Calculus

Properties of Definite Integrals

Definition of the Average Value of a Function

Figure 5.13: Integration of Even and Odd Functions

Amount of an Annuity

Figure 5.14: Area of a Region Bounded by Two Graphs

Figure 5.19: Consumer Surplus and Producer Surplus

Guidelines for Using the Midpoint Rule