yueyutu
2009-05-22, 17:52
>> syms('x')
>> f=(1+x-1/x)^(1/2);int(f,x,0.5,2)
ans =
-2/3*(20*2^(1/2)*5^(1/2)+20*2^(1/2)-16*5^(3/4)*EllipticF(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-5*i*2^(1/2)-i*2^(1/2)*5^(1/2)+8*(2+5^(1/2))^(1/2)*5^(3/4)*(-2+5^(1/2))^(1/2)*EllipticF((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+20*(2+5^(1/2))^(1/2)*5^(1/4)*(-2+5^(1/2))^(1/2)*EllipticE((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+4*(2+5^(1/2))^(1/2)*5^(3/4)*(-2+5^(1/2))^(1/2)*EllipticE((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+5*2^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+2^(1/2)*5^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+2*2^(1/2)*5^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticF((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-40*5^(1/4)*EllipticE(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-8*5^(3/4)*EllipticE(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2)))/(5^(1/2)+1)^2/(-5+5^(1/2))
怎么不对啊 求教了！
>> f=(1+x-1/x)^(1/2);int(f,x,0.5,2)
ans =
-2/3*(20*2^(1/2)*5^(1/2)+20*2^(1/2)-16*5^(3/4)*EllipticF(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-5*i*2^(1/2)-i*2^(1/2)*5^(1/2)+8*(2+5^(1/2))^(1/2)*5^(3/4)*(-2+5^(1/2))^(1/2)*EllipticF((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+20*(2+5^(1/2))^(1/2)*5^(1/4)*(-2+5^(1/2))^(1/2)*EllipticE((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+4*(2+5^(1/2))^(1/2)*5^(3/4)*(-2+5^(1/2))^(1/2)*EllipticE((2+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+5*2^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+2^(1/2)*5^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))+2*2^(1/2)*5^(1/2)*(5+5^(1/2))^(1/2)*(-2+2*5^(1/2))^(1/2)*EllipticF((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-40*5^(1/4)*EllipticE(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2))-8*5^(3/4)*EllipticE(2^(1/2)*5^(1/4)/(5^(1/2)+1)^(1/2),1/10*5^(3/4)*2^(1/2)*(5^(1/2)+1)^(1/2)))/(5^(1/2)+1)^2/(-5+5^(1/2))
怎么不对啊 求教了！