CALCULUS II

Problem Solving Videos

What is Substitution?

Substitution Problem 1

Substitution Problem 2

Substitution Problem 3: Integral of tangent

Substitution Problem 4

Substitution Problem 5

The one-over-a shortcut for substitution

Substitution with Definite Integrals Problem 1

Substitution with Definite Integrals Problem 2

Inverse Tangent Integration Formula

Area Between Curves Problem 1

Area Between Curves Problem 2

Volume by the Disk Method Problem 1

Volume of a Sphere Using the Disk Method

Volume by the Washer Method Problem 1

Volume by the Shell Method Problem 1

Volume by the Shell Method Problem 2

Arc Length Problem 1

Surface Area Problem 1

Integration By Parts Problem 1

Integration By Parts Problem 2

Integration By Parts Problem 3

Integration By Parts Problem 4

Integration By Parts Problem 5

The Tabular Method: A Shortcut for Integration By Parts

Tabular Method Problem 1

Tabular Method Problem 2

Trigonometric Integrals Problem 1

Trigonometric Integrals Problem 2

Trigonometric Integrals Problem 3

Trigonometric Integrals Problem 4

Trigonometric Substitution - Intro and Explanation

Trigonometric Substitution Problem 1

Trigonometric Substitution Problem 2

Trigonometric Substitution Problem 3

Trigonometric Substitution Problem 4

Trigonometric Substitution Problem 5

Getting the Partial Fractions Right

4 Important Integrals for Partial Fraction Decomposition

Partial Fraction Decomposition Problem 1

Partial Fraction Decomposition Problem 2

Partial Fraction Decomposition Problem 3

Partial Fraction Decomposition Problem 4

Partial Fraction Decomposition Problem 5

Partial Fraction Decomposition Problem 6

Improper Integrals Problem 1

Improper Integrals Problem 2

Improper Integrals Problem 3

Improper Integrals Problem 4

Improper Integrals Problem 5

Improper Integrals Problem 6

Improper Integrals Problem 7

Comparison Test for Improper Integrals Problem 1

Comparison Test for Improper Integrals Problem 2

Comparison Test for Improper Integrals Problem 3

Sequences and Limits - Problems Part 1

Sequences and Limits - Problems Part 2

Sequences and Limits - Problems Part 3

Geometric Series and Everything You Need to Know About Them

0.99999... = 1 with Geometric Series

Repeating Decimals and Geometric Series Problem 1

Repeating Decimals and Geometric Series Problem 2

Understanding the Divergence Test

Understanding the Integral Test

Integral Test Problem 1

Integral Test Problem 2

Direct Comparison and Limit Comparison Tests

Direct Comparison Test Problem 1

Direct Comparison Test Problem 2

Limit Comparison Test Problem 1

Limit Comparison Test Problem 2

Understanding the Alternating Series Test

Alternating Series Test Problem 1

Alternating Series Test Problem 2

Understanding the Ratio and Root Tests

Ratio Test Problem 1

Ratio Test Problem 2

Ratio Test Problem 3

Ratio Test Problem 4

Root Test Problem 1

Power Series Problem 1

Power Series Representation Problems

Term-by-term Differentiation Problem 1

Term-by-term Integration Problem 1

Term-by-term Integration Problem 2

How to Find the Coefficients in a Taylor Series

Maclaurin Series for e^x

Maclaurin Series for sin x

Maclaurin Series for cos x

Shortcuts for Maclaurin Series

Applications of Maclaurin Series Problem 1