Level:
Project ID:
2010008108
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Evaluate the following integral on the interval \((0;+\infty)\).
\[
\int \left( x\sqrt[3]{x}+x\sin x + x\mathrm{e}^x\right) \mathrm{d}x
\]
\( \frac37x^2\sqrt[3]{x}+x\cos x+\sin x+x\mathrm{e}^x-\mathrm{e}^x+c;~c \in \mathbb{R}\)
\( \frac{x^2}2\left(\frac34x^{\frac43}-\cos x+\mathrm{e}^x\right)+c;~c \in \mathbb{R}\)
\( \frac37x^2\sqrt[3]{x}+x\cos x-\sin x+x\mathrm{e}^x-\mathrm{e}^x+c;~c \in \mathbb{R}\)
\( \frac37x^2\sqrt[3]{x}-x\cos x + \sin x+x\mathrm{e}^x+\mathrm{e}^x+c;~c \in \mathbb{R}\)