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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！

2009-05-22, 17:52	#1
yueyutu 初级会员注册日期: 2009-05-07 年龄: 36 帖子: 2 声望力: 0	看一下这个定积分求的为什么不对 >> syms('x') >> f=(1+x-1/x)^(1/2);int(f,x,0.5,2) ans = -2/3(202^(1/2)5^(1/2)+202^(1/2)-165^(3/4)EllipticF(2^(1/2)5^(1/4)/(5^(1/2)+1)^(1/2),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))-5i2^(1/2)-i2^(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),1/105^(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),1/105^(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),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))+52^(1/2)(5+5^(1/2))^(1/2)(-2+25^(1/2))^(1/2)EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))+2^(1/2)5^(1/2)(5+5^(1/2))^(1/2)(-2+25^(1/2))^(1/2)EllipticE((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))+22^(1/2)5^(1/2)(5+5^(1/2))^(1/2)(-2+25^(1/2))^(1/2)EllipticF((5+5^(1/2))^(1/2)/(5^(1/2)+1)^(1/2),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))-405^(1/4)EllipticE(2^(1/2)5^(1/4)/(5^(1/2)+1)^(1/2),1/105^(3/4)2^(1/2)(5^(1/2)+1)^(1/2))-85^(3/4)EllipticE(2^(1/2)5^(1/4)/(5^(1/2)+1)^(1/2),1/105^(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！