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Example 6: Area Under Cosine Curve

Find the area under one arch of the curve y = cos x.


Figure 7.2.7

From Figure 7.2.7 we see that one arch lies between the limits

x = - π/2 and x = π/2,

therefore the area is

07_trigonometric_functions-86.gif = 1 - (-1) = 2.

Trigonometric identities can often be used to get an integral into a form which is easy to evaluate.

Last Update: 2006-11-15