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$\int \frac{d x}{5 \sin x + 12 \cos x}$

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113logtanx2+12tan−1125+C

logtanx2+12tan−1125+C

113logtanx2−12tan−1125+C

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Correct option is A

1r∫dxsinx+α rcosα=5rsinα=12=1rlog⁡tan⁡x+α2+C r=13tan⁡α=125

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∫dx5sinx+12cosx

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$\int \frac{d x}{5 \sin x + 12 \cos x}$