Mathematics (AS)·Integration · NSSCAS 1.9.4
Volumes of revolution & kinematics
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In this lesson you'll learn to spin a curve around an axis and find the exact volume of the solid it makes, using V = π∫y² dx. Then you'll use integration to climb the motion ladder — from acceleration up to velocity, up to displacement. You'll meet the classic traps (forgetting to square y, forgetting π, losing the +c) and beat them. By the end you'll handle real NSSCAS exam questions with confidence.
What you'll learn in this lesson
By the end you should be able to (NSSCAS Mathematics (AS) 1.9.4):
- Use definite integration to find a volume of revolution about the x-axis or the y-axis.
- Use definite integration to find displacement, velocity and acceleration in easy kinematics problems.
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