How to distribute $x \times \sqrt{x^2 + 1}$ How do I distribute the x in this problem?
How do I "gain access" so to say. Does it become $x^\frac{1}{2}(x^2 + 1)^\frac{1}{2}$ or $(x^3+x)^\frac{1}{2}$ ?
Or do I need to even do that in order to integrate $\int x(x^2+1)^\frac{1}{2}$ ?

$x\sqrt{x^2+1} = \dfrac{x(x^2+1)}{\sqrt{x^2+1}}=(x^2+1)\sqrt{\dfrac{x^2}{x^2+1}}$
