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Example 8: Integral of a Function containing Root and Cosine

Find 07_trigonometric_functions-88.gif.

Using the identity

sin2 x + cos2 x = 1,

we have

07_trigonometric_functions-89.gif

Case 1 In an interval where sin x ≥ 0,

07_trigonometric_functions-90.gif

Case 2 In an interval where sin x ≤ 0,

07_trigonometric_functions-91.gif


Last Update: 2006-11-15