Video lecture of L16 Integration
L16 Integration
Video Length
45 min
Est. L.H.
5-6 hr
Language
Chinese
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Learning Objectives
- Understand integration as the reverse process of differentiation (indefinite integrals) and find antiderivatives.
- Evaluate definite integrals and understand their interpretation as the signed area between a curve and the -axis.
- Apply both parts of the Fundamental Theorem of Calculus.
- Integrate functions of the form (for rational ) and sums/differences of such functions, including those requiring prior simplification.
- Utilise properties of definite integrals, such as linearity and combining integrals over contiguous ranges.
- Calculate the area of regions bounded by curves and lines.
- Approximate definite integrals using the trapezium rule and assess whether the approximation is an overestimate or underestimate.
- Solve simple first-order differential equations of the form by direct integration.
Lesson Practices
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