Antiderivative of e^x
The antiderivative of e^x is denoted as ∫ e^x dx
The antiderivative of e^x is denoted as ∫ e^x dx. To find this antiderivative, we can use the power rule of integration. In general, the power rule states that the antiderivative of x^n is (1 / (n+1)) * x^(n+1), where n is any real number except for -1.
In the case of e^x, we can think of it as e^1 * x^0, since e^1 = e and x^0 = 1. Applying the power rule, we find that the antiderivative of e^x is:
∫ e^x dx = e^x * (1 / 1) = e^x + C,
where C represents the constant of integration. Therefore, the antiderivative of e^x is simply e^x plus a constant.
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