# integration

1. ### Numerical Integration ( EXAM Q )

Hello. I was solving $\int x\arcsin x\, dx$. When applying integration by parts, the book suggests ($v=2x^2-1$), so I came up with this: \frac{1}{4}\left[(2x^2-1)\arcsin x - \!\int \frac {2x^2-1}{\sqrt{1-x^2}}dx\right]. I don't have any idea how the second part is solved. I mean this part: (-...