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Application of Integration to Area

In this post, you’ll find the formula used to find area by integration.


Finding area between curve and x-axis

To find the area bounded by the curve y = f(x),  the x-axis, the lines x= a and x= b:

Using integration to finding area bounded by the curve y = f(x),  the x-axis, the lines x= a and x= b.

Note that area is a positive value. Hence, if the area lies beneath the x-axis, you’ll need to add |  | or a negative sign in front of it to make it positive.


To find the area bounded by the curve x = g(y),  the y-axis, the lines y= a and y= b:

Using integration to find the area bounded by the curve x = g(y),  the y-axis, the lines y= a and y= b.

Note that area is a positive value. Hence, if the area lies beneath to the left of the  y-axis, you’ll need to add |  | or a negative sign in front of it to make it positive.

H2 A Level Math Notes

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