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A calculus exercise for physics class: integrating with two triangles
Physics Education Pub Date : 2021-03-03 , DOI: 10.1088/1361-6552/abe841
B Cameron Reed

Integrals of functions of the form $f\,(x) = x^{n}{\textrm{e}}^{-ax}$ over the domain $(0,\infty)$ occur in various areas of physics. This paper shows how students can evaluate such integrals to surprisingly good accuracy using only basic calculus.



中文翻译:

物理课的微积分练习:$ {x ^ n} {e ^ {-ax}} $与两个三角形积分

形式的功能$ f \,(x)= x ^ {n} {\ textrm {e}} ^ {-ax} $在整个领域的积分$(0,\ infty)$发生在物理学的各个领域。本文展示了学生如何仅使用基本演算就可以对此类积分进行评估,得出令人惊讶的良好准确性。

更新日期:2021-03-03
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