Final answer to the problem
$\frac{1}{2}x^2\arcsin\left(x\right)+\frac{1}{4}x\sqrt{1-x^2}-\frac{1}{4}\arcsin\left(x\right)+C_0$
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Step-by-step Solution
Learn how to solve integration by trigonometric substitution problems step by step online. Find the integral int(xarcsin(x))dx. We can solve the integral \int x\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 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
$\frac{1}{2}x^2\arcsin\left(x\right)+\frac{1}{4}x\sqrt{1-x^2}-\frac{1}{4}\arcsin\left(x\right)+C_0$
