f(x)=∫dxsin4⁡x is a

f(x)=∫1+cot2⁡xcosec2⁡xdx=−cot⁡x+13cot3⁡x+Cwhich is polynomial of degree 3 .

f(x)=∫1+cot2⁡xcosec2⁡xdx=−cot⁡x+13cot3⁡x+Cwhich is polynomial of degree 3 .

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

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Polynomial of degree 4 in $c o t x$

Polynomial of degree 3 in $c o t x$

Polynomial of degree 4 in $\sin x$

Polynomial of degree 3 in $\tan x$

answer is A.

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

which is polynomial of degree 3 .

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