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The integral of a function times a constant ($-\frac{1}{6}$) is equal to the constant times the integral of the function
Learn how to solve integrals involving logarithmic functions problems step by step online.
$-\frac{1}{6}\int x^3\ln\left(x^5\right)dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(-1/6x^3ln(x^5))dx. The integral of a function times a constant (-\frac{1}{6}) is equal to the constant times the integral of the function. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The integral of a function times a constant (5) is equal to the constant times the integral of the function. We can solve the integral \int x^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.