Mathematics

# Integrate the following function: $\sqrt {ax+b}$

##### SOLUTION
$\int { \sqrt { ax+b } } dx$
$= \int { { \left( ax+b \right) }^{ \dfrac12 } } dx$

$={ \dfrac { { \left( ax+b \right) }^{ \dfrac { 1 }{ 2 } +1 } }{ a } +C }$

$=\int { \dfrac { { \left( ax+b \right) }^{ \dfrac { 3 }{ 2 } } }{ a } +c } .$

Hence, the answer is $\int { \dfrac { { \left( ax+b \right) }^{ \dfrac { 3 }{ 2 } } }{ a } +c } .$

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

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