(1/(x-1/2)^2 - 1/(x+1/2)^2)/2 - Wolfram|Alpha

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Input

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

Root

x = 0

Series expansion at x=0

16 x + 128 x^3 + 768 x^5 + O(x^6)
(Taylor series)

Big‐O notation »

Derivative

d/dx(1/2 (1/(x - 1/2)^2 - 1/(x + 1/2)^2)) = -(16 (12 x^2 + 1))/(4 x^2 - 1)^3

Indefinite integral

integral1/2 (1/(x - 1/2)^2 - 1/(x + 1/2)^2) dx = 2/(1 - 4 x^2) + constant

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