Find all inflection points of the function $f (x) = x^{3} - 6 x^{2} + 9 x + 1$ .

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Differentiate $f (x) = x^{2} e^{3 x}$ with respect to $x$ .
What is the equation of the normal line to the curve $y = x^{3} - 3 x + 2$ at the point where $x = 2$ ?
Evaluate the definite integral $\int_{0}^{1} \frac{1}{1 + x ^{2}} d x$ .
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Calculate the area of the region bounded by $y = 6 x - x^{2}$ and the $x$ -axis.
Find the antiderivative $\int x cos (x) d x$ using integration by parts.