What is partialfraction (x^2)/(1-x^2) ?

The solution to partialfraction (x^2)/(1-x^2) is -1+1/(2(x+1))-1/(2(x-1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

partial fractions

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

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

Solution steps

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

Long division

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

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

Continue partial fractions on remainder:

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

Take the partial fraction of

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

5^{t}, 0

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

\int 2 e^{4 x} d x

\frac{5}{3 ( s + 3 ) ^{2} + 27}

What is partialfraction (x^2)/(1-x^2) ?
The solution to partialfraction (x^2)/(1-x^2) is -1+1/(2(x+1))-1/(2(x-1))