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Improper Integrals - Infinite Limits of Integration

Indeterminate Forms & L’Hôpital’s Rule

Hyperbolic Functions

Calculus with Hyperbolic Functions

Partial Fraction Decomposition

Integration by Trigonometric Substitution

Trigonometric Integrals - Powers of Tangent and Secant

Trigonometric Integrals - Powers of Sine and Cosine

6:54 Using the formula 9:39 Example 1 15:14 Example 2 21:15 Example 3 (repeated use of the formula) 29:10 Example 4 (repeated use of the formula) 38:27 Example 5 (antiderivative of the natural logarithm) 41:44 Example 6 (antiderivative of arctangent)

The Law of Sines allows for the solving (identifying the lengths of all three sides and the measures of all three angles) of oblique triangles given the measure of any two angles and the length of any one side (ASA and AAS). The Law of Sines can be applied a SSA scenario, but since SSA is not a congruence relationship it is not deterministic, meaning there may be two triangles that fit the info...

The Law of Cosines can be used to solve (identify the lengths of all three sides and the measures of all three angles) of any triangle given: - the lengths of all three sides (SSS) - the lengths of any two sides and the measure of the angle between them (SAS) There are three formulas, each of which has two forms. The formula and its form are chosen depending on which information is given about ...

These formulas allow for the evaluation of the trigonometric functions of angles that can be written as a sum or difference of common angles from the unit circle.

Integration by Substitution

The Fundamental Theorem of Calculus, Parts 1 & 2

The Mean Value Theorem for Differentiation

Hypothesis Testing for Proportions

Hypothesis Testing for the Mean (One Sample)

Basics of Hypothesis Testing

Confidence Intervals for the Standard Deviation

Confidence Intervals for Proportions

Confidence Intervals for the Mean - Small Samples

Calculating the Sample Size for a Given Margin of Error

The Inverse Trigonometric Functions (Sine, Cosine, Tangent)

Introduction to Confidence Intervals - Mean, Large Samples

Graphs of Cosecant, Secant, and Cotangent Functions

Graph of Tangent Function

The Central Limit Theorem

Sampling Distribution Simulation - Means

The Definite Integral - Definition and Properties