Final Answer
Step-by-step Solution
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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int2x^3\ln\left(x\right)dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(x^3ln(x^2))dx. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). We can solve the integral \int2x^3\ln\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.