Část:
Project ID:
2010008107
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Vypočtěte
\[
\int \left( x\sqrt{x}+x\cos x - x\mathrm{e}^x\right) \mathrm{d}x
\]
na intervalu \((0;+\infty)\).
\( \frac25x^2\sqrt{x}+x\sin x+\cos x-x\mathrm{e}^x+\mathrm{e}^x+c;~c \in \mathbb{R}\)
\( \frac{x^2}2\left(\frac23x^{\frac32}+\sin x-\mathrm{e}^x\right)+c;~c \in \mathbb{R}\)
\( \frac25x^2\sqrt{x}+x\sin x-\cos x-x\mathrm{e}^x+\mathrm{e}^x+c;~c \in \mathbb{R}\)
\( \frac25x^2\sqrt{x}+x\sin x + \cos x-x\mathrm{e}^x-\mathrm{e}^x+c;~c \in \mathbb{R}\)