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Chui - Calculus 2
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Notes, Examples, & Solutions
1. Integration Techniques
a. Basic Integration
b. Integration by Parts
c. Trigonometric Integrals
d. Trig Substitution
e. Partial Fraction
f. Improper Integrals
2. Infinite Series
a. Infinite Sequences
b. Summing Infinite Series and Convergence Tests
1. Geometric Series, Telescoping Series & Test for Divergence
2. Harmonic series and Integral Test
3. Direct & Limit Comparison Tests
4. Alternating Series Test & Error Estimation
5. Ratio Test and Root Test
c. Power Series
1. Representation of Functions by Power Series
2. Maclaurin & Taylor Series
3. Taylor Polynomials and Approximation
3. Parametric + Polar Equations
a. Parametric Equations
b. Polar Coordinates, Polar Curves and Area in Polar Coordinates
4. Volume of Solids
Practice Exams
Prerequisites
Quizzes
1. Integration Techniques
2. Infinite Series
3. Parametric and Polar Equations
4. Volume of Solids
Chui - Calculus 2
f. Improper Integrals
Determine whether the following improper integrals converge.
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