Applications Of Integration 1 & 2

Applications of Integration 1
This is a very thorough worksheet covering the applications of integration for Year 12.

It is a pdf consisting of 10 questions in which all the equations reduce to powers of x.

Applications covered are:

• Integration as the reverse of differentiation,
• Area between a graph and the x axis,
• Area between a graph and the y axis,
• Area between a graph and a given line,
• Area between two curves.

I devised this as a revision sheet for Year 12 - it is an excellent set of questions which covers everything that you need to know at this stage.

Applications 2
This pdf consists of 10 questions involving integration of higher functions - not polynomials.

Students are required to integrate by substitution, parts, trigonometry, exponentials and logarithms.

Applications are limited as the integration is the skill being tested, but applications include:

Integration as the reverse of differentiation,
Solving simple differential equations,
Areas.
I used to give this sheet as a revision sheet at the end of Integration in Y13 as each question requires a different method of integration as well as an application.
It proved to be a great sheet to talk through as well as practicing methods and techniques.

Answers are included as usual.