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$f (x) = \int \frac{d x}{\sin^{4} x}$ is a

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Polynomial of degree 3 in

c o t x

Polynomial of degree 4 in

c o t x

Polynomial of degree 4 in

\sin x

Polynomial of degree 3 in

\tan x

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detailed solution

Correct option is A

$\begin{array}{l} f (x) = \int (1 + \cot^{2} x) {cosec}^{2} x d x \\ = - (\cot x + \frac{1}{3} \cot^{3} x) + C \end{array}$

which is polynomial of degree 3 .

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f(x)=∫dxsin4⁡x is a