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April 20, 2014

April 20, 2014

Posted by **Sully** on Tuesday, November 29, 2011 at 2:36am.

- Calculus -
**Damon**, Tuesday, November 29, 2011 at 6:01amSketch a graph of the two functions between 0 and pi.

Note that cos x is above sin x only between x = 0 and x = pi/4

so

we have 5 times integral from 0 to pi/4 of cos x dx - sin x dx

cos x dx --> sin x 0 to pi/4 = .5 sqrt 2

sin x dx = -cos x 0 to pi/4= -.5sqrt 2 +1

cos x dx - sin x dx --> sqrt 2 - 1

times 5 = 5 sqrt 2 - 5

or about 7.07 - 5 = 2.07

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