Question

Evaluate : integretionsin (2x) dx​

Answer 1

Step-by-step explanation:

We have,

$\int \sin(2x) dx$

$Let \: 2x = t \\ \implies \: dx = \frac{dt}{2}$

$= \frac{1}{2} \int \sin(t) dt$

$= - \frac{1}{2} \cos(t) + c$

$= - \frac{1}{2} \cos(2x) + c$