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$_0\int\frac{\ln\left(x\right)}{\sqrt[3]{x}}dx$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int((_0^1ln(x))/(x^1/3))dx. Simplify the expression inside the integral. Rewrite the fraction \frac{\ln\left(x\right)}{\sqrt[3]{x}} inside the integral as the product of two functions: \frac{1}{\sqrt[3]{x}}\ln\left(x\right). We can solve the integral \int\frac{1}{\sqrt[3]{x}}\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.