Applications Of Integration Part 1 with Answers

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.**