Teaching UP TGT Mock Test Series 2025 Mathematics Integral Calculus Properties of Definite Integrals

\(\rm \displaystyle \int_{0}^{\frac{\pi}{2}} \frac{1-\cot x}{\operatorname{cosec} x+\cos x} d x=\)

1
0
2
\(\frac{\pi}{4}\)
3
∞ 
4
\(\frac{\pi}{12}\)
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