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SQA Higher Maths Numerical integration

Numerical integration

This page covers the following topics:

1. Calculating area under a curve

The area bounded between two curves can be found by subtracting the lower function by the upper one and integrating between the limits.

Calculating area under a curve

1

Calculate the shaded area of the given graph.

Calculate the shaded area of the given graph.

2

Find the area between y = xΒ³ + 3 and y = x + 1 between the points x = 1 and x = 2.

Find the area between y = xΒ³ + 3 and y = x + 1 between the points x = 1 and x = 2.

3

Use definite integrals to find the area between y = 2x + 10 and y = 2x + 4 between the points x = 5 and x = 2.

Use definite integrals to find the area between y = 2x + 10 and y = 2x + 4 between the points x = 5 and x = 2.

4

Evaluate the area between the curves y = βˆ’x + 9 and y = xΒ² + 3 between the points x = 0 and x = 2.

Evaluate the area between the curves y = βˆ’x + 9 and y = xΒ² + 3 between the points x = 0 and x = 2.

5

Find the area between y = βˆ’x and y = xΒ² βˆ’ 8 between the points x = 0 and x = 2.

Find the area between y = βˆ’x and y = xΒ² βˆ’ 8 between the points x = 0 and x = 2.

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