How do you find the indefinite integral of $\int \frac{5}{x}$ $int 5/x$ ?

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How do you find the indefinite integral of $\int \frac{5}{x}$ $int 5/x$ ?

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Answer 1 · 2017-12-14T03:56:16

$5 ln (x) + C$ $5ln(x)+C$

Explanation:

Think about derivatives that could equal $\frac{1}{x}$ $1/x$
We know that $\frac{d}{d x} ln x = \frac{1}{x}$ $d/dxlnx=1/x$
and using properties of integrals, we can place any constant to the front of the integral.
$5 \int \frac{1}{x} d x$ $5int1/xdx$ ; $5 (ln x) + C$ $5(lnx)+C$
You get your final answer.

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How do you find the indefinite integral of $\int \frac{5}{x}$ $int 5/x$ ?

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How do you find the indefinite integral of $\int \frac{5}{x}$ $int 5/x$ ?