The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Trigonometric Functions Derivatives of Trigonometric Functions Examples Example 6: Area Under Cosine Curve
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Example 6: Area Under Cosine Curve

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

07_trigonometric_functions-85.gif

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.
Home Trigonometric Functions Derivatives of Trigonometric Functions Examples Example 6: Area Under Cosine Curve

Last Update: 2006-11-15