What is the antiderivative of $n^{x}$ $n^x$ ?

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What is the antiderivative of $n^{x}$ $n^x$ ?

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Answer 1 · 2014-10-16T14:58:59

By rewriting a bit,

$\int n^{x} d x = \int e^{(ln n) x} d x = \frac{e^{(ln n) x}}{ln n} + C = \frac{n^{x}}{ln n} + C$ $int n^x dx=int e^{(lnn)x}dx=e^{(lnn)x}/{lnn}+C=n^x/{lnn}+C$

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What is the antiderivative of $n^{x}$ $n^x$ ?

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