What is the antiderivative of $\frac{7}{x}$ $7/x$ ?

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Answer 1 · 2016-03-26T14:04:39

$7 ln | x | + C$ $7lnabsx+C$

We will use the very important identity:

$\int \frac{1}{x} d x = ln | x | + C$ $int1/xdx=lnabsx+C$

You are asking for:

$\int \frac{7}{x} d x$ $int7/xdx$

We can bring the $7$ $7$ , which is being multiplied, out of the integral:

$= 7 \int \frac{1}{x} d x = 7 ln | x | + C$ $=7int1/xdx=7lnabsx+C$

What is the antiderivative of 7/x7x7/x?