= 12 + 12 + √2 SIN X2 COS X2 − 100ΠΠZ2 12D) I = 1= 0.(COS 2X + COS 4...
2.
= 1
2 + 1
2 + √
2 sin x
2 cos x
2 − 1
0
πZ
21
2d) I = 1
= 0.
(cos 2x + cos 4x) dx =
2
8 sin 4x
4 sin 2x + 1
1
x 2
Z
dx =
e) I =
x − 1 + 1
= e − 1
2 − ln 2.
x − 2
2 − x + ln |x − 2|
!
h
f) I =
dx = (x − 1) 2011
= − 1
(x − 1 + 1) (x − 1) 2009 dx =
(x − 1) 2010 + (x − 1) 2009 i
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