What is the antiderivative of $7/x$ ?

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Answer 1 · 2016-02-29T19:09:51

$\int \frac{7}{x}dx$ = $7 ln|x| + C$

$\int \frac{7}{x}dx$

Taking the constant out as: $\int a\cdot f(x)dx=a\cdot \int f(x)dx$

$=7\int \frac{1}{x}dx$

Using the common integral as: $\int \frac{1}{x}dx=\ln (|x|)$

$=7\ln |x|$

Adding constant to the solution,

$=7\ln |x| + C$

What is the antiderivative of 7/x7/x?