The ∫$$sin2$$⁡$$xcos6$$⁡xdx is a

Correct option is 3is a polynomial of degree 5 in tan⁡x

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The $\int \frac{\sin^{2} x}{\cos^{6} x} d x$ is a

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is a polynomial of degree 5 in sin⁡x

is a polynomial of degree 4 in tan⁡x

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is a polynomial of degree 5 in cos⁡x

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detailed solution

Correct option is C

Putting tan⁡x=t the given integral can be written as∫t21+t2dt=t33+t55+C=tan5⁡x5+tan3⁡x3+Cwhich is a polynomial of degree 5 in tan x

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The ∫sin2⁡xcos6⁡xdx is a

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The $\int \frac{\sin^{2} x}{\cos^{6} x} d x$ is a