maxima 学习笔记(基本微积分)
最后更新于:2022-04-01 07:31:27
本文最初写于 2010-07-22于 sohu 博客,这次博客搬家一起搬到这里来。
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微分:
diff (expr, x, n)
diff (expr, x)
diff (expr)
几个例子:
diff (exp (f(x)), x, 2);
![](https://docs.gechiui.com/gc-content/uploads/sites/kancloud/2016-01-24_56a4233d7c203.PNG)
'integrate (f(x, y), y, g(x), h(x));
diff (%, x);
![](https://docs.gechiui.com/gc-content/uploads/sites/kancloud/2016-01-24_56a4233d87c7d.PNG)
# 积分:
integrate (expr, x) /*不定积分*/
integrate (expr, x, a, b) /*定积分*/
几个例子:
integrate (sin(x)^3, x);
integrate (x^2 * exp(-x^2), x, minf, inf);
![](https://docs.gechiui.com/gc-content/uploads/sites/kancloud/2016-01-24_56a4233d95117.PNG)
# 拉普拉斯变换:
laplace (expr, t, s)
ilt (expr, s, t)
几个例子:
laplace (exp (2*t + a) * sin(t) * t, t, s);
laplace (delta (t - a) * sin(b*t), t, s);
laplace ('diff (f (x), x), x, s);
ilt (%, s, t)
![](https://docs.gechiui.com/gc-content/uploads/sites/kancloud/2016-01-24_56a4233da1d8f.PNG)