Mathematics

# Evaluate : $\int { \sqrt { \dfrac { x }{ { x }^{ 3 }{ a }^{ 3 } } } dx }$

##### SOLUTION
Consider the given integral.
$I=\int \sqrt{\dfrac{x}{x^3a^3}}dx$
$I=\int \sqrt{\dfrac{1}{x^2a^3}}dx$
$I={\dfrac{1}{a\sqrt a}}\int \dfrac{1}{x} dx$
$I={\dfrac{1}{a\sqrt a}} log_e x+C$

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

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