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

解答

多个部分分式

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

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

求解步骤

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

长除

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

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

继续对剩余部分进行部分分式分解：

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

将

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

用部份分式展开:

\frac{1}{x + 1} - \frac{1}{x - 1}

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

\frac{d}{d x} (- 3 x^{2} + 24 x + 10)

\frac{\partial}{\partial y} (e^{x} sec^{2} (y))

t an g e n t f (x) = x^{2} - 8, (4, 8)

t an g e n t y = 9 x - 6 x, (1, 3)

\int_{0}^{1} \frac{ln ( x )}{x ^{2}} d x