Lore For Math

${\displaystyle \text{积分表}}$

${\displaystyle \text{含有 }ax+b\text{ 的积分}}$

${\displaystyle \int \frac{dx}{ax+b}}$

${\displaystyle \int {(ax+b)}^{\mu }(\mu \mathrm{\ne }-1)}$

${\displaystyle \int \frac{x}{ax+b}dx}$

${\displaystyle \int \frac{x^2}{ax+b}dx}$

${\displaystyle \int \frac{dx}{x(ax+b)}}$

${\displaystyle \int \frac{dx}{x^2(ax+b)}}$

${\displaystyle \int \frac{x}{{(ax+b)}^2}dx}$

${\displaystyle \int \frac{x^2}{{(ax+b)}^2}dx}$

${\displaystyle \int \frac{dx}{x{(ax+b)}^2}}$

${\displaystyle \text{含有 }\sqrt{ax+b}\text{ 的积分}}$

${\displaystyle \text{技巧方法}}$

${\displaystyle \text{裂项相消}}$

${\displaystyle \frac{1}{x(ax+b)}}$

${\displaystyle \frac{1}{x^2(ax+b)}}$

${\displaystyle \frac{1}{x{(ax+b)}^2}}$