Disks and washers --- Example 1 | Example 2 | Example 3 | Example 4
Solids with known cross sections --- Example 1
| Example 2
Cylindrical shells --- Example 1
Arc length and surface area --- Example 1
| Example 2 | Example
3 | Example 4
Integration by parts --- Notes
Partial fractions --- Guidelines for
decompositions
Trigonometric substitution --- Secant
example 1 | Secant example 2
Trapezoid rule --- Notes, Python code, Desmos trapezoid rule calculator
Simpson's rule --- Slides, Python code
Improper integrals --- Notes
Sequences --- Notes
Intro to series --- Notes
n-th term test and integral test --- Notes
Direct and limit comparison --- Notes
Alternating series --- Notes
Ratio and root tests --- Notes | Summary of convergence tests
Power series --- Notes
Properties of power series --- Notes
Taylor series --- Notes
Parametric equations --- Notes
Calculus of parametric equations --- Notes
Polar coordinates --- Notes
Area and arc length in polar coordinates --- Notes
Last updated April 4, 2021.