Use the form $\int a^{x} d x=\frac{1}{\ln a} a^{x}+C$ to solve the following indefinite integral.
\[
\int 12^{x} d x
\]
\[
\int 12^{x} d x=
\]

Answer

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Answer

Final Answer: $\boxed{\int 12^{x} d x= \frac{12^x}{\ln 12} + C}$

Steps

Step 1 ：Use the form $\int a^{x} d x=\frac{1}{\ln a} a^{x}+C$ to solve the following indefinite integral.

Step 2 ：$\int 12^{x} d x$

Step 3 ：The integral of a function in the form of $a^x$ is given by $\frac{1}{\ln a} a^x + C$. Here, $a$ is 12. So, we can directly substitute $a$ with 12 in the formula to get the integral of $12^x$.

Step 4 ：The integral of $12^x$ is $\frac{12^x}{\ln 12} + C$.

Step 5 ：Final Answer: $\boxed{\int 12^{x} d x= \frac{12^x}{\ln 12} + C}$

Use the form $\int a^{x} d x=\frac{1}{\ln a} a^{x}+C$ to solve the following indefinite integral.\[\int 12^{x} d x\]\[\int 12^{x} d x=\]

Answer

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Use the form $\int a^{x} d x=\frac{1}{\ln a} a^{x}+C$ to solve the following indefinite integral.
\[
\int 12^{x} d x
\]
\[
\int 12^{x} d x=
\]