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Category: Antiderivative

Antiderivative of 2^x

Antiderivative of 2^x

Indefinite integral
integral 2^x dx = 2^x/(log(2)) + constant
Series expansion of the integral at x=0
1/(log(2)) + x + 1/2 x^2 log(2) + 1/6 x^3 log^2(2) + 1/24 x^4 log^3(2) + 1/120 x^5 log^4(2) + O(x^6)
(Taylor series)
Definite integral over a half-period
integral_0^((i pi)/(log(2))) 2^x dx = -2/(log(2))~~-2.88539