Integral of $$$2^{n}$$$
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Your Input
Find $$$\int 2^{n}\, dn$$$.
Solution
Apply the exponential rule $$$\int{a^{n} d n} = \frac{a^{n}}{\ln{\left(a \right)}}$$$ with $$$a=2$$$:
$${\color{red}{\int{2^{n} d n}}} = {\color{red}{\frac{2^{n}}{\ln{\left(2 \right)}}}}$$
Therefore,
$$\int{2^{n} d n} = \frac{2^{n}}{\ln{\left(2 \right)}}$$
Add the constant of integration:
$$\int{2^{n} d n} = \frac{2^{n}}{\ln{\left(2 \right)}}+C$$
Answer
$$$\int 2^{n}\, dn = \frac{2^{n}}{\ln\left(2\right)} + C$$$A
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