Mathematics

# $\int a^{3x+3}$ dx is equal to

##### ANSWER

$\frac{a^{3x+3}}{3 log a}+c$

##### SOLUTION
As we know that
$\displaystyle\int a^x d x=\dfrac{a^x}{\log a}+C$
$\displaystyle\int a^{3 x+3} d x=\int a^{3 x}\times a^3 d x=a^3\int a^{3 x}d x=a^3\times \dfrac{a^{3 x}}{3\log a}+C=\dfrac{a^{3 x+3}}{3\log a}+C$

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