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We can solve the integral $\int x\ln\left(x\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
Learn how to solve integrals of polynomial functions problems step by step online.
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve integrals of polynomial functions problems step by step online. . We can solve the integral \int 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 or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Final answer to the problem
$\frac{1}{2}\cdot 1^2\ln\left|1\right|- \left(\frac{1}{2}\right)\cdot 0^2\ln\left|0\right|-\frac{1}{4}$
