Integrate: \(\rm \int x\sqrt{x^2+1}dx\ x>0\)

1
\(\rm \frac{1}{2}(x^2+1)^{\frac{3}{2}}+C\)
2
\(\rm \frac{1}{3}(x^2+1)^{\frac{3}{2}}+C\)
3
\(\rm \frac{1}{3}(x^3+1)^{\frac{2}{3}}+C\)
4
\(\rm \frac{1}{2}(x^3+1)^{\frac{2}{3}}+C\)

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