antiderivative of 5^x
To find the antiderivative of the function 5^x, we can apply the power rule of integration
To find the antiderivative of the function 5^x, we can apply the power rule of integration. The power rule states that if we have a function of the form f(x) = a^x (where a is a constant), then the antiderivative is given by F(x) = (1 / ln(a)) * a^x + C, where C is the constant of integration.
Applying this rule to 5^x, we have a = 5. Therefore, the antiderivative of 5^x is given by:
F(x) = (1 / ln(5)) * 5^x + C
So, F(x) = (1 / ln(5)) * 5^x + C is the antiderivative of 5^x.
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