Final answer to the problem
$3x^2\ln\left|5x\right|-\frac{3}{2}x^2+C_0$
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Step-by-step Solution
Learn how to solve integration techniques problems step by step online. Solve the integral of logarithmic functions int(6xln(5x))dx. The integral of a function times a constant (6) is equal to the constant times the integral of the function. We can solve the integral \int x\ln\left(5x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
Final answer to the problem
$3x^2\ln\left|5x\right|-\frac{3}{2}x^2+C_0$
