A.Maths - Definite Integrals

2008-11-27 10:07 am
Evaluate:
http://good-times.webshots.com/photo/2249068770103642988SFaXKT
Please show the steps.
answer: (pi + 2)/4

回答 (1)

2008-11-27 3:35 pm
✔ 最佳答案
cos^2(x) = (cos2x + 1)/2.
S cos^2(x) dx = S (cos2x + 1)/2 dx
= 1/2[sin2x/2 + x] x from p/4 to -p/4
= 1/2[1/2 + p/4 + 1/2 + p/4]
=1/2(1 + p/2)
=1/4(p +2).


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