# Core 3 - Chapter 10 - Volumes of revolution and numerical integration

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The volume of a function rotated fully around the x-axis [y=f(x)] is
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The volume of a function rotated fully around the y-axis [x=g(y)] is
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What does the Trapezium Rule do?
Approximates the curve to straight lines and calculates the area of the resultant trapezia?
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What does the Mid-Ordinate Rule do?
Takes the midpoint between two ordinates as the height and approximates the area through a series of rectangles
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What does Simspons Rule do?
Approximates the curve as a series of quadratics, and this is usually much more accurate. Gives a better approximation and it is only valid when used with an even number of strips.
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## Other cards in this set

### Card 2

#### Front

The volume of a function rotated fully around the y-axis [x=g(y)] is

.

### Card 3

#### Front

What does the Trapezium Rule do?

### Card 4

#### Front

What does the Mid-Ordinate Rule do?

### Card 5

#### Front

What does Simspons Rule do?