Unit 8 - Integral Calculus

Unit Objectives
Prior Knowledge:
  •  Differential Calculus
By the end of this unit students should be able to:
  • Understand indefinite integration as anti-differentiation
  • Integrate polynomials, sine, cosine and the exponential function
  • Integrate using the reverse of known differential results
  • Integrate with boundary conditions to determine the constant of integration
  • Integrate with limits (definite integration)
  • Determine areas between curves and the x and y axes and areas enclosed between curves
  • Find volumes of revolution about the x and y axes.
  • Integrate by substitution
  • Integrate by parts
  • Solve problems of kinematics
Lesson Resources​
1. Anti-Differentiation
2. Integrating Exponentials and Logarithms
3. Definite Integration
7. ​Volumes of Revolution
8. Integration and Trigonometry
9. Kinematics
10. Integration By Substitution
11. Special Substitutions
12. Integration By Parts
For a whole range of mathematical activities for use in and out of the classroom, including random question generators, Bingo generators and worksheet generators, as well as computer based investigations and activities check out my main site: www.interactive-maths.com.

​If you are interested in codes, ciphers and codebreaking, then check out my secondary site, Crypto Corner, dedicated to providing information about all types of ciphers, as well as tools for encrypting, decrypting and breaking messages.