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#