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]:KIT 数学ナビゲーション:tan(x/2)=t とおく置換積分の問題(1)

Remarks

・LaTeX: \\\int_{a}^{b}\frac{1}{\cos x}dx\\=\log\left (\frac{1+\tan \frac{x}{2}}{1-\tan\frac{x}{2}} \right )+C\\=\log\left ( \frac{\cos \frac{x}{2}+\sin \frac{x}{2}}{\cos \frac{x}{2}-\sin \frac{x}{2}} \right )+C\\= \log\left ( \cos \frac{x}{2}+\sin \frac{x}{2} \right )-\log\left ( \cos \frac{x}{2}-\sin \frac{x}{2}\right )+C
・Making above Equation Image is powered by CODECOGS

History

・2010/04/28:Upload.