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Now showing items 1-10 of 22

#### MathsCasts: Iterative Reduction Formula: Part 1

(Swinburne Commons, 2011)

Firstly discusses iterative functions and solutions while noting the usefulness of an Iterative Reduction Formula for multiple integration by parts. Then applies this to a simple indefinite case.

#### MathsCasts: Iterative Reduction Formula: Part 2

(Swinburne Commons, 2011)

Continues the previous simple indefinite example noting the construction of a base case. Then considers the corresponding definite case.

#### MathsCasts: Partial Fractions: Linear Roots Part 2

(Swinburne Commons, 2011)

Firstly double checks the expansion from Part 1. Then shows the use of partial fractions to conduct the integration. Uses substitution in the resulting integrals.

#### MathsCasts: Partial Fractions: Mixed Roots: Part 2

(Swinburne Commons, 2011)

Uses the expansion from Part 1 to conduct the integration. Uses substitution in the resulting integrals.

#### MathsCast: Completing the Square

(Swinburne Commons, 2011)

Explains the concept of completing the square with two practical examples resulting in trigonometric identities.

#### MathsCasts: Cyclical Integration by Parts

(Swinburne Commons, 2011)

Applies the method of repeated integration by parts to an function containing the product of exponential and trigonometric terms resulting in a cyclical answer.

#### MathsCasts: Integration by Parts: Integrating Arc Tan

(Swinburne Commons, 2011)

Applies the method of integration by parts to integrate Arc Tan.

#### MathsCasts: Integration by Parts: Integrating Ln

(Swinburne Commons, 2011)

Applies the method of integration by parts to integrate Ln.

#### MathsCasts: Integration by Parts: Definition

(Swinburne Commons, 2011)

Defines the concept of integration by Parts, when it is appropriate to use IBP, and how to determine u and dv.

#### MathsCasts: Inverse Trigonometric Identities: When the X-Coefficient is Not One

(Swinburne Commons, 2011)

Discusses inverse trigonometric identities when the x-coefficient is not one.