partialfraction (x^2)/(1-x^2)

解答

多个部分分式

\frac{x ^{2}}{1 - x ^{2}}

- 1 + \frac{1}{2 ( x + 1 )} - \frac{1}{2 ( x - 1 )}

求解步骤

\frac{x ^{2}}{1 - x ^{2}}

长除

\frac{x ^{2}}{1 - x ^{2}} : - 1 + \frac{1}{- x ^{2} + 1}

= - 1 + \frac{1}{- x ^{2} + 1}

继续对剩余部分进行部分分式分解：

\frac{1}{1 - x ^{2}}

将

\frac{1}{1 - x ^{2}}

用部份分式展开:

\frac{1}{2 ( x + 1 )} - \frac{1}{2 ( x - 1 )}

- 1 + \frac{1}{2 ( x + 1 )} - \frac{1}{2 ( x - 1 )}

(y^{3} - 1) e^{x} + 3 y^{2} (e^{x} + 1) \frac{d y}{d x} = 0, y (0) = 2

t a y l or 5^{t}, 0

\int_{0}^{1} (u + 7) (u - 8) d u

\int 2 e^{4 x} d x

in v erse l a pl a ce \frac{5}{3 ( s + 3 ) ^{2} + 27}