Mathematics

# Integrate $\displaystyle \int \dfrac {x}{x+10}dx$

$x-10\ln|x+10|+C$

##### SOLUTION
$\displaystyle\int{\dfrac{x}{x+10}dx}$

$=\displaystyle\int{\dfrac{x+10-10}{x+10}dx}$

$=\displaystyle\int{\dfrac{x+10}{x+10}dx}-10\displaystyle\int{\dfrac{dx}{x+10}}$

$=\displaystyle\int{dx}-10\displaystyle\int{\dfrac{dx}{x+10}}$

$=x-10\ln{\left|x+10\right|}+C$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 105

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