matlab 编制程序,求取y=x^2-4和y=-x^2-2x,x=-3围成的面积。(提示:利用solve函数求解出x、y获得交点坐标,再进行积分)
时间: 2024-02-15 11:03:53 浏览: 86
好的,这个问题也可以通过 MATLAB 解决。以下是代码:
```matlab
syms x y
eq1 = y == x^2 - 4;
eq2 = y == -x^2 - 2*x;
eq3 = x == -3;
% 求解交点坐标
[x1, y1] = solve([eq1, eq2]);
[x2, y2] = solve([eq2, eq3]);
% 计算面积
area = abs(int(y1 - y2, x, x1, x2));
fprintf('所求面积为:%0.2f\n', double(area));
```
这段代码中,我们同样使用 `syms` 声明符号变量 `x` 和 `y`,然后利用 `solve` 函数求解出交点坐标 `(x1, y1)` 和 `(x2, y2)`。注意到此时只有一个交点,因此我们只需要计算一个面积。
最后,我们计算出面积并输出即可。
希望这个代码能够帮助到你,如果有任何问题,欢迎随时提出。
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