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İÉÏ·ãÉù(Edstrayer´ú·¢): ½ð±Ò+1 2015-12-27 00:40:45
>> syms x
>> int((1-cos(x))^(3/2),x,0,2*pi)

ans =

16/3*2^(1/2)
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7Â¥2015-12-22 22:33:57
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ľ³æ (ÕýʽдÊÖ)

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İÉÏ·ãÉù(Edstrayer´ú·¢): ½ð±Ò+2 2015-12-27 00:40:58
ÒòΪ1-Cosx=2*[Sin(x/2)]^2
Ô­»ý·Ö=Integral{{sqrt(2)*abs[Sin(x/2)]}^3*dx, 0,2*¦Ð}
ÔÙÁîu=x/2
Ô­»ý·Ö=2^(5/2)*Integral{{abs[Sinu]}^3*du, 0,¦Ð}
=2^(5/2)*Integral{{[Sinu]}^3*du, 0,¦Ð}
=2^(5/2)*Integral{{1-[Cosu]*2}*dCosu, ¦Ð,0}
=4*sqrt(2)*{2-2/3}
=16/3*sqrt(2)
9Â¥2015-12-24 10:53:16
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