Evaluate $\int x e^{2 x} d x$ .

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What is the derivative of $f (x) = 4 x^{3} - 5 x^{2} + 7 x - 9$ with respect to $x$ ?
What is the derivative of $g (x) = e^{3 x^{2} - 2}$ with respect to $x$ ?
Evaluate $lim_{x \to 3} \frac{x ^{2} - 9}{x - 3}$ .
At what point on the curve $y = x^{2} - 6 x + 8$ is the tangent line horizontal?
If a fair standard 6-sided die is rolled twice, what is the probability that the sum of the two numbers is equal to $7$ ?
In a binomial distribution with $n = 100$ trials and probability of success $p = 0.36$ , what is the standard deviation $σ$ ?