Final Answer
$\frac{4}{\ln^{2}\left(9\right)}\cdot 3^x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{3^x}{\ln\left(3\right)}dx$
Specify the solving method
1
Calculating the natural logarithm of $3$
$\int\frac{3^x}{\ln\left(3\right)}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int\frac{3^x}{\ln\left(3\right)}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int((3^x)/(ln(3))dx. Calculating the natural logarithm of 3. Take the constant \frac{1}{\ln\left(3\right)} out of the integral. The integral of the exponential function is given by the following formula \displaystyle \int a^xdx=\frac{a^x}{\ln(a)}, where a > 0 and a \neq 1. Simplifying.
Final Answer
$\frac{4}{\ln^{2}\left(9\right)}\cdot 3^x+C_0$