Answer

问题及解答

常用不定积分

Posted by haifeng on 2014-12-23 20:25:34 last update 2022-04-26 08:56:59 | Edit | Answers (0)

这里 $a > 0$.

\[
\int\frac{1}{t^2-a^2}\mathrm{d}t=\frac{1}{2a}\ln\biggl|\frac{t-a}{t+a}\biggr|+C,
\]

\[
\int\frac{1}{t^2+a^2}\mathrm{d}t=\frac{1}{a}\arctan\frac{t}{a}+C,
\]