有理函数的分解有理函数是指两个多项式的商所构成的函数:\((0.0.0)\)其中\(m,n\)为非负整数\(a_{0},a_{1},a_{2},...,a_{n};\enspaceb_{0},b_{1},b_{2},...,b_{n}\)均为实数\(a_{0}\ne0,b_{0}\ne0\)当\(m\gen\)时，式子\(0.0.0\)被称为真分式；当\(m\len\)

example00.First\[\begin{aligned}\int\frac{1}{\sinx+\cosx}dx=?\\\\设:u=\tan\frac{x}{2},\enspacex=2\arctan(u)\\\\\sinx=\frac{2u}{1+u^{2}},\enspace\cosx=\frac{1-u^{2}}{1+u^{2}}\\\\\int\frac{1}{\frac{2u}{1