Find the anti-derivative (or integral) of the following by the method of inspection.
cos 3x.

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Solution

$\int c o s 3 x d x = \frac{1}{3} s i n 3 x + C (\begin{matrix} ∵ \frac{d}{d x} (\frac{1}{3} s i n 3 x) = \frac{1}{3} (c o s 3 x) 3 = c o s 3 x \end{matrix})$

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