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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。 版权所有,转载请注明出处。 微分: diff (expr, x, n) diff (expr, x) diff (expr) 几个例子: diff (exp (f(x)), x, 2); ![](https://box.kancloud.cn/2016-01-24_56a4233d7c203.PNG) 'integrate (f(x, y), y, g(x), h(x)); diff (%, x); ![](https://box.kancloud.cn/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://box.kancloud.cn/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://box.kancloud.cn/2016-01-24_56a4233da1d8f.PNG)