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8 Integral Calculus

8.1 Reversing differentiation
8.2 Using the integral symbol
8.2.1 Simplifying before integrating
8.2.2 Standard integrals
8.3 Finding the constant of integration
8.3.1 Definite integrals
8.4 Area under a curve
8.4.1 Area above the \(x\)-axis
8.4.2 Area below the \(x\)-axis
8.4.3 Regions that cross the axis
8.4.4 Area between a curve and a line
8.5 Methods of integration
8.5.1 Integration by substitution
8.5.2 Integration by parts
8.5.3 Integration using partial fractions
8.6 Practice problems

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