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airbaylor

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feixiaolin

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airbaylor(feixiaolin´ú·¢): ½ð±Ò+1 2014-08-24 22:09:49
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4Â¥2014-08-23 18:21:34
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feixiaolin: ½ð±Ò+1 2014-08-24 22:10:10
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elastic

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airbaylor(feixiaolin´ú·¢): ½ð±Ò+5 2014-08-24 22:10:55
feixiaolin: ÊýѧEPI+1, elastic 2014-09-10 16:48:01
MATLABµÄ¼ÆËã½á¹û£º
> syms x
int('(x^3+1)^(-1/2)',x)

ans =

((3^(1/2)*i + 3)*((x + (3^(1/2)*i)/2 - 1/2)/((3^(1/2)*i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*i)/2 + 3/2))^(1/2)*((1/2 + (3^(1/2)*i)/2 - x)/((3^(1/2)*i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*i)/2 + 3/2))^(1/2)), -((3^(1/2)*i)/2 + 3/2)/((3^(1/2)*i)/2 - 3/2)))/(- (3^(1/2)*(i/2) - 1/2)*(3^(1/2)*(i/2) + 1/2) - x*((3^(1/2)*(i/2) - 1/2)*(3^(1/2)*(i/2) + 1/2) + 1) + x^3)^(1/2)

>> a=int('(x^3+1)^(-1/2)',x)

a =

((3^(1/2)*i + 3)*((x + (3^(1/2)*i)/2 - 1/2)/((3^(1/2)*i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*i)/2 + 3/2))^(1/2)*((1/2 + (3^(1/2)*i)/2 - x)/((3^(1/2)*i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*i)/2 + 3/2))^(1/2)), -((3^(1/2)*i)/2 + 3/2)/((3^(1/2)*i)/2 - 3/2)))/(- (3^(1/2)*(i/2) - 1/2)*(3^(1/2)*(i/2) + 1/2) - x*((3^(1/2)*(i/2) - 1/2)*(3^(1/2)*(i/2) + 1/2) + 1) + x^3)^(1/2)

>> pretty(a)

        1/2    / x - 1/2 + #3 \1/2    / 1/2 - x + #3 \1/2          /             3/2 + #3 \
  (3 + 3    i) | ------------ |    #2 | ------------ |    ellipticF| asin(#2), - -------- |
               \   #3 - 3/2   /       \   3/2 + #3   /             \             #3 - 3/2 /
  -----------------------------------------------------------------------------------------
                                   3                     1/2
                                 (x  + (- #1 - 1) x - #1)
   
  where
   
     #1 == (#3 - 1/2) (#3 + 1/2)
   
           /  x + 1   \1/2
     #2 == | -------- |
           \ 3/2 + #3 /
   
            1/2
           3    i
     #3 == ------
             2
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chlsun60

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feixiaolin

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