Integration 2

This advanced integration topic introduces techniques such as substitution and integration by parts. Learners also apply integration to calculate areas between curves, volumes of revolution, and solve more complex problems.

Learning Outcomes:
The learner should be able to:

• Integrate functions by recognizing a function and its derivative including odd and even powers of trigonometric functions.
• Use change of variables to integrate composite functions.
• Integrate exponential and logarithmic functions of forms.
• Integrate using sine, cosine and tangent substitution.
• Integrate using the t-substitution.
• integrate partial fractions.
• Perform integration by substitution and by parts.