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Step-by-step Solution
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Change the logarithm to base $e$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
Learn how to solve evaluate logarithms problems step by step online.
$\int\left(\frac{\ln\left(x\right)}{\ln\left(10\right)}\right)^2dx$
Learn how to solve evaluate logarithms problems step by step online. Solve the integral of logarithmic functions int(log(x)^2)dx. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Simplify the expression inside the integral. Take the constant \frac{1}{5.3018981} out of the integral. We can solve the integral \int\ln\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.