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Indefinite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsIndefinite Integration2 Marks
Question
Evaluate:
$\int \frac{\sin 4 x}{\cos 2 x} \cdot d x$
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Answer

$\int \frac{\sin 4 x}{\cos 2 x} d x$
$=\int \frac{2 \sin 2 x \cos 2 x}{\cos 2 x} d x$
$=2 \int \sin 2 x d x$
$=2\left(-\frac{\cos 2 x}{2}\right)+c$
$=-\cos 2 x+c .$

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