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.
[2]:Trigonometric functions:Wikipedia
[3]:Complex logarithm:Wikipedia

Remarks

・LaTeX: \\\int \sqrt{a^{2}-x^{2}}dx=\frac{x}{2}\sqrt{a^{2}-x^{2}}+\frac{a^{2}}{2}\sin^{-1}\frac{x}{a}+C\\\textup{log}\left ( -i \right )=-\frac{\pi i}{2}\; ,\textup{sin}^{-1}z=-i\textup{log}\left (iz+ \sqrt{1-z^{2}} \right )\\\textup{log}\left ( -1 \right )=i\pi
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History

・2010/04/01:Upload.