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Antiderivative

Find the foll...

Question

Find the following integrals.
$\int \frac{2 - 3 s i n x}{c o s^{2} x} d x .$

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Solution

$\int \frac{2 - 3 s i n x}{c o s^{2} x} d x = \int \frac{2}{c o s^{2} x} d x - 3 \int \frac{s i n x}{c o s^{2} x} d x = 2 \int s e c^{2} x d x - 3 \int t a n x . s e c x d x = 2 t a n x - 3 s e c x + C$

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