QCE Together Year 12 Maths Methods: Definite Integrals

Maths Methods

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Definite Integrals

In this post, we interpret the definite integral [katex] \int_{a}^{b} f(x) dx [/katex] as area under the curve [katex] y = f(x) [/katex] if [katex] f(x)>0 [/katex], and recognise the definite integral as a limit of sums of the form [katex] \sum_{i} f(x_{i}) \delta x_{i} [/katex]. This syllabus dot point is a part of the QCE Maths Methods course under the topic Integrals and sub-part Fundamental Theorem of Calculus and Definite Integrals.

 

Definite Integrals

Part 1: Sign and symmetry

 

Part 2: Dissection and direction

 

Part 3: Addition

 

Part 4: Piecemeal functions

 

Using Reimann Sum

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