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Section 6.5: Review of integration, average value of a function |
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Section 8.7: Numerical integration, trapezoidal rule,
Simpson's rule, error estimates |
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Section 6.1: Areas between curves |
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Section 6.2: Volumes |
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Section 6.3: Volumes by cylindrical shells |
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Section 6.4: Work |
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Section 7.1: Inverse functions |
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Section 7.2-4: Exponential and logarithmic functions |
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Section 10.4: Exponential growth and decay |
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Section 7.5-6: Inverse trigonometric functions; hyperbolic
functions |
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Section 7.7: Indeterminate forms |
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Section 8.1: Integration by parts |
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Section 12.12: Taylor's theorem with remainder |
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Section 8.2-3: Trigonometric integrals; trigonometric
substitution |
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Section 8.4: Partial fractions |
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Section 8.8: Improper integrals |
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Section 9.1-2: Arc length, area of surface of revolution |
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Section 10.1-2: Differential equations, direction fields |
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Section 10.3: Separable DE's, homogeneous DE's |
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Section 10.6: First-order linear DE's |