A) -1
B) -2
C) 2
D) 4
Correct Answer: C
Solution :
\[I=\int\limits_{\frac{\pi }{4}}^{\frac{3\pi }{4}}{\frac{dx}{1+\cos x}}\] ?. [a] \[I=\int\limits_{\frac{\pi }{4}}^{\frac{3\pi }{4}}{\frac{dx}{1-\cos x}}\] ?. [b] Adding and \[2I=\int\limits_{\frac{\pi }{4}}^{\frac{3\pi }{4}}{\frac{2}{{{\sin }^{2}}x}}dx\] \[I=\int\limits_{\frac{\pi }{4}}^{\frac{3\pi }{4}}{\cos e{{c}^{2}}x\,dx}\] \[I=-(\cot x)_{\pi /4}^{3\pi /4}=2\]
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