x^4/(x+1) - Wolfram|Alpha

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Input

x^4/(x + 1)

Root

x = 0

Series expansion at x=0

x^4 - x^5 + x^6 - x^7 + x^8 + O(x^9)
(Taylor series)

Big‐O notation »

Derivative

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

Indefinite integral

integral x^4/(x + 1) dx = 1/12 (3 x^4 - 4 x^3 + 6 x^2 - 12 x + 12 log(x + 1) - 25) + constant
(assuming a complex-valued logarithm)

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