A

9000071205

Level: 
A
Evaluate the following integral on \(\mathbb{R}\). \[ \int \left (x^{2} + 2^{x}\right )\, \mathrm{d}x \]
\(\frac{x^{3}} {3} + \frac{2^{x}} {\ln 2} + c,\ c\in \mathbb{R}\)
\(\frac{x^{3}} {3} + \frac{2^{x+1}} {x+1} + c,\ c\in \mathbb{R}\)
\(2x + \frac{2^{x}} {\ln \left |x\right |} + c,\ c\in \mathbb{R}\)

9000070803

Level: 
A
Differentiate the following function. \[ f(x) = 3x^{3} + 2x +\mathrm{e} ^{x} \]
\(f'(x) = 9x^{2} + 2 +\mathrm{e} ^{x},\ x\in \mathbb{R}\)
\(f'(x) = 6x^{2} + 2x,\ x\in \mathbb{R}\)
\(f'(x) = 6x^{2} + 2x +\mathrm{e} ^{x},\ x\in \mathbb{R}\)
\(f'(x) = 9x^{2} + 2,\ x\in \mathbb{R}\)