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$Evaluate \int_{0}^{4 π} \frac{d x}{\cos^{2} x (2 + \tan^{2} x)}$

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Correct option is B

∫04π sec2⁡x2+tan2⁡xdx=2∫02π sec2⁡xdx2+tan2⁡x using formula∫02af(x)dx=2∫0af(x) dx if f(2a-x)=f(x)=4∫0π sec2⁡x2+tan2⁡xdx=8∫0π2 sec2⁡xdx2+tan2⁡x=8∫0π/2 d(tan⁡x)2+tan2⁡x=82tan−1⁡tan⁡x20π/2=82π2−0=22π

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Evaluate ∫04π dxcos2⁡x2+tan2⁡x

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$Evaluate \int_{0}^{4 π} \frac{d x}{\cos^{2} x (2 + \tan^{2} x)}$