Calculation of Indefinite Integral.

Keyword

Physics Formulas,Indefinite Integral,Irrational function.

Reference

[1]:オーム社編:『機械工学公式集』,オーム社,pp.29,1960.

Remarks

・LaTeX: \\\int \frac{1}{\sqrt{x^{2}-a^{2}}}dx=\log\left ( x+\sqrt{x^{2}-a^{2}} \right )+C\\\\z=x+iy=re^{i\theta }\, ,r=\sqrt{x^{2}+y^{2}}\, ,\theta =\tan^{-1}\frac{y}{x}\, ,2\pi n=0\\\\\log_{e}\left ( x+iy \right )=\log_{e} re^{i\theta }=\log_{e}r+\log_{e}e^{i\theta}\\=\log_{e}\left ( x^{2}+y^{2} \right )^{\frac{1}{2}}+i\theta =\frac{1}{2}\log_{e}\left ( x^{2}+y^{2} \right )+i\tan^{-1}\frac{y}{x}
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History

・2010/04/14:Upload.