Mathematics

If $$\dfrac{dy}{dx}=\cos(2x)$$, then $$y=$$


ANSWER

$$\dfrac{\sin (2x)}{2}+c$$


SOLUTION
Using substitution  method.
$$u = 2x$$
$$du = 2dx$$
$$\frac{du}{2} = dx$$
Plug in.
$$dy = \frac{1}{2}cos (u)du$$
Integrate.
$$y= \frac{sin(2x)}{2} + c$$
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Single Correct Medium Published on 17th 09, 2020
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