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.32,1960.

Remarks

・LaTeX: \\\int_{a}^{b}\coth x dx=\log\sinh x+C\\\\\coth x=\frac{e^{2x}+1}{e^{2x}-1}\, ,\sinh x=\frac{e^{x}-e^{-x}}{2}\\\log\sinh x=\log\left | \sinh x \right |+i\pi\; \textup{when x is smaller than 0.}
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History

・2010/06/15:Modification of Equation Image.
・2010/06/14:Upload.