参数积分的符号计算

C. Raab
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引用次数: 3

摘要

积分对从物理到工程再到统计学的许多应用都很重要。虽然积分符号计算的系统方法有很长的历史,但计算参数积分的计算机代数工具是最近才出现的。对于计算(定)参数积分,人们不一定需要知道被积函数的显式不定积分,这种计算通常依赖于积分符号下的微分等技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Symbolic Computation of Parameter Integrals
Integrals are important to many applications ranging from physics over engineering to statistics. While systematic methods for symbolic computation of integrals have a long history, computer algebra tools for computation of parameter integrals are a more recent topic. For computing (definite) parameter integrals, one does not necessarily need to know an explicit antiderivative of the integrand, such computations often rely on techniques like differentiation under the integral sign instead.
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