The value of ∫$$dx5+4cos$$⁡x is

Correct option is 423tan−1⁡13tan⁡x2+C

Questions

The value of $\int \frac{d x}{5 + 4 \cos x}$ is

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13tan−1⁡13tan⁡x+C

13tan−1⁡13tan⁡x2+C

23tan−1⁡13tan⁡x+C

23tan−1⁡13tan⁡x2+C

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detailed solution

Correct option is D

∫dx5+4cos⁡x=∫2dt51+t2+41−t2(t=tan⁡(x/2))=2∫dt9+t2=23tan−1⁡13tan⁡x2+C

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The value of ∫dx5+4cos⁡x is

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The value of $\int \frac{d x}{5 + 4 \cos x}$ is