怎么用 matlab画出这个公式的图，有图例，求编程过程

怎么用 matlab画出这个公式的图，有图例，求编程过程

写了个M file，运行得到你的图像，不过有点小小的bug：clear
figure1=figure('Color',[1 1 1]);
syms x;
k=0:0.2:10;
N=zeros(1,length(k));
for i=2:length(k)
y=k(i)/2*int(1/((x+k(i)^2)^(3/2)*(x+1)),x,0,inf);
N(i-1)=vpa(y,10);
end
plot(k,N,'r.'),grid on 运行结果：不过命令窗口出现了以下东西：Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found. ……

syms x k; n_x=k/2*int(1/sqrt(x+k^2)^3/(x+1),x,0,inf); kk=linspace(.1,10,50); plot(kk,subs(n_x,k,kk)) ylim([0,.7])