Level:
Project ID:
2010008103
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Evaluate the following integral on \( \mathbb{R}\).
\[
\int \left( x^2+2\sin^2 x + 3 \mathrm{e}^{2x}\right) \mathrm{d}x
\]
\( \frac{x^3}{3}+x-\sin x \cos x + \frac32 \mathrm{e}^{2x}+c;~c \in \mathbb{R}\)
\( 3x^3+x-\sin x \cos x + 6\mathrm{e}^{2x}+c;~c \in \mathbb{R}\)
\( \frac{x^3}{3}+\frac23\sin^3 x +\mathrm{e}^{3x}+c;~c \in \mathbb{R}\)
\( \frac{x^3}{3}-2\cos^2 x + 3\mathrm{e}^{2x}+c;~c \in \mathbb{R}\)