maxima 学习笔记(基本微积分)

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);

'integrate (f(x, y), y, g(x), h(x));

diff (%, x);

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);

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)