### Finding area under curves by integration

The area under a curve and the x-axis can be found by integrating the curve between two chosen values of x.

Area = ∫ x^{2}/4 dx

E.g.

Area under the curve between x = 1 and x = 4 = ∫ x^{2}/4 dx

= [x^{3}/12] ^{4}_{1}

= 64/12 - 1/12

= 63/12

= 5.3(1 d.p.)

For interactive practice of the above, here is the applet:

For a more comprehensive tutorial on integration, including interactive practice, please follow the link:

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