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
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