e^(x^2) * sin(x) - Wolfram|Alpha

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Input

e^(x^2) sin(x)

Series expansion at x=0

x + (5 x^3)/6 + (41 x^5)/120 + (461 x^7)/5040 + O(x^9)
(Taylor series)

Big‐O notation »

Derivative

d/dx(e^(x^2) sin(x)) = e^(x^2) (2 x sin(x) + cos(x))

Indefinite integral

integral e^(x^2) sin(x) dx = 1/4 e^(1/4) sqrt(π) (erf(1/2 - i x) + erf(1/2 + i x)) + constant

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