ZIMSEC A-Level Pure Mathematics
6.5.2Integration
Integration in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic132 practice questions7 lessons
Overview
Form 5.
Learning objectives
What the syllabus expects you to be able to do.
- 6.5.2.1Form 5: integrate polynomials, rational functions, exponentials (e^(ax+b)) and trigonometrical functions, using standard integrals and integrals that reduce to them.
- 6.5.2.2Form 5: integrate by recognition, by substitution and by parts.
- 6.5.2.3Form 5: evaluate definite integrals.
- 6.5.2.4Form 5: apply integration to find areas and volumes.
Lessons
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Definite integrals and areas
45 min
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Integrating exponential, reciprocal and trigonometric functions
40 min
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Integration as the reverse of differentiation
40 min
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Integration by parts
45 min
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Integration by recognition and by substitution
45 min
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Integration using partial fractions
45 min
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Volumes of revolution
40 min
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Sample question
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