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

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: \(\boxed{\int 12^{x} d x= \frac{12^x}{\ln 12} + C}\)