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x
积分遇到问题了,谁能帮帮我?
程序如下:
clear ;clc;
syms x y z
f=(1-x.^2).^(1/2);
dfdx=diff(f);
A=int(5e13*cosh(dfdx*z/1e6),z,0,1e-7);
B=int(5e13*sinh(dfdx*z/1e6),z,0,1e-7);
C=(0.04*A-B*(A^2-B^2+0.04^2)^0.5)/(A^2-B^2);
D=dfdx*(1e-7)+1e6*sinh(C)
E=int(D,x,(-1e-4),1e-4)
F=int(E,y,(-0.008),0.008)
x1=-1:0.05:1
G=subs(F,x,x1)
运行结果:
D =
-1/10000000/(1-x^2)^(1/2)*x+1000000*sinh((1000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))/x+25000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)/x*(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2+1/625)^(1/2))/(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2))
Warning: Explicit integral could not be found.
> In sym.int at 58
In yy at 9
E =
int(-1/10000000/(1-x^2)^(1/2)*x+1000000*sinh((1000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))/x+25000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)/x*(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2+1/625)^(1/2))/(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2)),x = -1/10000 .. 1/10000)
F =
2/125*int(-1/10000000/(1-x^2)^(1/2)*x+1000000*sinh((1000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))/x+25000000000000000000*(1-x^2)^(1/2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)/x*(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2+1/625)^(1/2))/(625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)-exp(-1/10000000000000/(1-x^2)^(1/2)*x))^2/x^2-625000000000000000000000000000000000000*(1-x^2)*(exp(1/10000000000000/(1-x^2)^(1/2)*x)+exp(-1/10000000000000/(1-x^2)^(1/2)*x)-2)^2/x^2)),x = -1/10000 .. 1/10000)
x1 =
Columns 1 through 11
-1.0000 -0.9500 -0.9000 -0.8500 -0.8000 -0.7500 -0.7000 -0.6500 -0.6000 -0.5500 -0.5000
Columns 12 through 22
-0.4500 -0.4000 -0.3500 -0.3000 -0.2500 -0.2000 -0.1500 -0.1000 -0.0500 0 0.0500
Columns 23 through 33
0.1000 0.1500 0.2000 0.2500 0.3000 0.3500 0.4000 0.4500 0.5000 0.5500 0.6000
Columns 34 through 41
0.6500 0.7000 0.7500 0.8000 0.8500 0.9000 0.9500 1.0000
??? Error using ==> maple
Error, (in int) wrong number (or type) of arguments
Error in ==> sym.subs at 165
NEWf = double(sym(maple('map','F',char(sym([NEWexpr{:}])))));
Error in ==> yy at 12
G=subs(F,x,x1)
[ 本帖最后由 twomao 于 2007-8-28 16:59 编辑 ] |