The value of the integral \int_{0}^{\frac{\pi}{2}} \frac{1+2 \cos x}{(2+\cos x)^2} \dx lies in the interval:

NIMCET 2025 Paper

Section: Mathematics

Question : 47 of 120

Marks: +1, -0

The value of the integral

∫↙{0}↖{\;{π}/{2}} \;{1+2 \cos x}/{(2+\cos x)^2} \dx

lies in the interval:

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