MATHEMATICS S6 UNIT 4: INTEGRATION.
About Course
In calculus, the term “primitive” is an older, but still perfectly valid, synonym for antiderivative or indefinite integral.
So, when someone talks about finding the “primitive” of a function, they are asking you to perform the operation of integration to find a function whose derivative is the given function.
Let’s break down the concept using the more common modern terminology:
What is a Primitive (Antiderivative / Indefinite Integral)?
Given a function , a function is called a primitive (or antiderivative) of if the derivative of is .
In mathematical notation: If , then is a primitive of
The Constant of Integration ()
Here’s a crucial point: if is a primitive of , then is also a primitive of , where is any arbitrary real number constant. This is because the derivative of any constant is zero.
Course Content
Primitives.
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Concepts
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Definition.
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Properties.
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Rules of Calculations.
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Geometric Interpretation of the Indefinite Integral.
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Immediate Indefinite Integrals.
Definite Integrals.
Method of Integration.
Simple Improper Integrals.
Application of Integrals.
Solved passed Questions picked from Passed Papers (Year 1990 – 2024).
Final Exam.
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