y=-x^2 4x-3

写错了吧,应该是点(0,-3)和(3,0)处的切线
试试吧:
clear all;clc;
syms x
y=-x^2+4*x-3;
dydx=diff(y,1);
k1=subs(dydx,{x},{0}); % 过点(0,-3)的切线y=4*x-3;
k2=subs(dydx,{x},{3}); %过点(3,0)的切线y=-2*x+6;
[x0,y0]=solve(4*x-3=y,-2*x+6=y,x,y);
x0=eval(x0); %两切线的交点
f1=@(x)x.^2;
f2=@(x)x.^2-6*x+9;
aera=quadl(f1,0,x0)+quadl(f2,x0,3);

>> aera
aera =
2.2500
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