Calculation of Indefinite Integral.

Keyword

Physics Formulas,Indefinite Integral,Transcendental Function.

Reference

[1]:オーム社編:『機械工学公式集』,オーム社,pp.30,1960.
[2]:Binomial theorem. Wikipedia

Remarks

・LaTeX: \\\int_{a}^{b}\frac{\left ( \log x \right )^{n}}{x}dx=\frac{\left ( \log x \right )^{n+1}}{n+1}+C\\\\f\left ( x \right )=\frac{\left ( \log x \right )^{n}}{x}\; ,F\left ( x \right )=\frac{\left ( \log x \right )^{n+1}}{n+1}\\\\\left ( \log\left | x \right | +i\pi \right )^{n}=\sum_{k=0}^{n}\binom{n}{k}\left ( \log \left | x \right | \right )^{n-k}\left ( i\pi \right )^{k}
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History

・2010/04/21:Upload.