Finding Areas Under the Curve:
Part 2


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You will need to remember from AS on how to find the area under a curve, considering all types of cases, as in A2 the same types of questions can come up, but with harder integration. Here is an example:

Example 1:

Example 1
Answer 1
Example 2
Answer 2

Finding areas between curves

In AS, you will have learnt how to find the area between a curve and a straight line. You will also have to know how to find the area between two curves. The following formula can be used:

Example 1

Note: It is important to consider the following; one thing is that the limits b and a, can be given in the question or you will have to find the intersections between the curves, and the x coordinates of the intersections will form the limits. Another thing is that the f(x) function is the function that gives the top boundary of the region. Make sure you understand this by looking at the examples below, as subtracting the functions in the wrong order could give the wrong answer.

Example 2:

Example 1
Answer 1
Example 2
Answer 2

Practice Question:





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