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Question-200697




Question Number 200697 by Bayat last updated on 22/Nov/23
Answered by aleks041103 last updated on 22/Nov/23
sin(2t)=2sin(t)cos(t)  ⇒∫((sin(2t))/(2sin(t)))dt=∫cos(t)dt=sin(t)+C
$${sin}\left(\mathrm{2}{t}\right)=\mathrm{2}{sin}\left({t}\right){cos}\left({t}\right) \\ $$$$\Rightarrow\int\frac{{sin}\left(\mathrm{2}{t}\right)}{\mathrm{2}{sin}\left({t}\right)}{dt}=\int{cos}\left({t}\right){dt}={sin}\left({t}\right)+{C} \\ $$

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