Část:
Project ID:
9000065504
Accepted:
1
Easy:
1
Vypočtěte \(\int (1 -\sqrt{x})(1 + \sqrt{x})\, \mathrm{d}x\) na intervalu \((0;+\infty)\).
\(x -\frac{1}
{2}x^{2} + c,\ c\in\mathbb{R}\)
\((x -\frac{1}
{2}x^{2})(x + \frac{1}
{2}x^{2}) + c,\ c\in\mathbb{R}\)
\(x -\frac{1}
{2}x^{\frac{1}
{2} } + c,\ c\in\mathbb{R}\)
\((x -\frac{1}
{2}x^{-\frac{1}
{2} })(x + \frac{1} {2}x^{-\frac{1}
{2} }) + c,\ c\in\mathbb{R}\)