How do you integrate $cos (5 x) d x$ $cos(5x)dx$ ?

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How do you integrate $cos (5 x) d x$ $cos(5x)dx$ ?

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Answer 1 · 2018-03-26T15:47:50

Let $u = 5 x$ $u = 5x$ . Then $d u = 5 d x$ $du = 5dx$ and $d x = \frac{d u}{5}$ $dx= (du)/5$ .

$I = \int \frac{1}{5} cos (u) d u$ $I = int 1/5cos(u) du$

$I = \frac{1}{5} sin (u) + C$ $I = 1/5sin(u) + C$

$I = \frac{1}{5} sin (5 x) + C$ $I = 1/5sin(5x) + C$

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How do you integrate $cos (5 x) d x$ $cos(5x)dx$ ?

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