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Rewrite the fraction $\frac{x\arcsin\left(x\right)}{\sqrt{1-x^2}}$ inside the integral as the product of two functions: $\frac{x}{\sqrt{1-x^2}}\arcsin\left(x\right)$
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$\int\frac{x}{\sqrt{1-x^2}}\arcsin\left(x\right)dx$
Learn how to solve problems step by step online. Integrate int((xarcsin(x))/((1-x^2)^1/2))dx. Rewrite the fraction \frac{x\arcsin\left(x\right)}{\sqrt{1-x^2}} inside the integral as the product of two functions: \frac{x}{\sqrt{1-x^2}}\arcsin\left(x\right). We can solve the integral \int\frac{x}{\sqrt{1-x^2}}\arcsin\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.