How do you find the antiderivative of $cos 5 x$ ?

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Answer 1 · 2017-01-03T17:13:13

$1/5 sin 5x +C$

Anti derivative of $cos 5x$ means $int \ cos 5x \ dx$

Now, let $5x=t$ , so that $5 dx=dt$ or, $dx =1/5 dt$

Thus $int \ cos 5x \ dx =1/5 int \ cos t \ dt$

$=1/5 sint +C$

$=1/5 sin5x +C$

How do you find the antiderivative of cos 5 x cos 5 x?