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Rewrite the fraction $\frac{\ln\left(x\right)}{\sqrt{x}}$ inside the integral as the product of two functions: $\frac{1}{\sqrt{x}}\ln\left(x\right)$
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$\int_{0}^{1}\frac{1}{\sqrt{x}}\ln\left(x\right)dx$
Learn how to solve problems step by step online. Integrate the function ln(x)/(x^1/2) from 0 to 1. Rewrite the fraction \frac{\ln\left(x\right)}{\sqrt{x}} inside the integral as the product of two functions: \frac{1}{\sqrt{x}}\ln\left(x\right). We can solve the integral \int\frac{1}{\sqrt{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. Now, identify dv and calculate v.