Final Answer
$\frac{8}{\ln^{3}\left(9\right)}\cdot \infty_4\ln\left(x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\infty_4\frac{1}{\ln\left(3\right)^3x}dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\frac{\infty_4}{1.325969x}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int\frac{\infty_4}{1.325969x}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(\infty_41/(xln(3)^3))dx. Simplify the expression inside the integral. Take the constant \frac{1}{1.325969} out of the integral. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final Answer
$\frac{8}{\ln^{3}\left(9\right)}\cdot \infty_4\ln\left(x\right)+C_0$