## Search

Now showing items 21-30 of 37

#### 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.

#### MathsCasts: Integrating Exponents

(Swinburne Commons, 2011)

Discusses how to integrate exponents with simple examples.

#### MathsCasts: Maclaurin Series: Exponential Functions

(Swinburne Commons, 2012)

Calculates the MacLaurin series for the exponential function. Also discusses the MacLaurin series for e^2x derived from the corresponding series for e^x.

#### MathsCasts: Maclaurin Series: Composite Functions

(Swinburne Commons, 2012)

Calculates the MacLaurin series for a composite function e^{sinx}. Highlights the fact that this series must be a polynomial.

#### MathsCasts: Reciprocal Trigonometric Integrals

(Swinburne Commons, 2011)

Discusses reciprocal trigonometric identities and investigates numerous examples, some of which involve reading the differentiation tables.

#### MathsCasts: Integration by Parts: Simple Example

(Swinburne Commons, 2011)

Applies the method of integration by parts to a simple function.

#### MathsCasts: Trigonometric Integrals

(Swinburne Commons, 2011)

Discusses trigonometric integration with simple examples.

#### MathsCasts: Partial Fractions: Multiplicity of a Root

(Swinburne Commons, 2011)

Explains the partial fraction expansion procedure when the denominator has repeated linear roots, and applies this technique to a simple example. Then applies this expansion to conduct the integration. Uses substitution ...