Evaluate the following integrals \( \mathrm{P} \) The value of \( \...

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Evaluate the following integrals
\( \mathrm{P} \)
The value of \( \int \frac{d x}{\sec x+\operatorname{cosec} x} \), is equal to
W.
(a) \( \left\{(\sin x+\cos x)+\frac{1}{\sqrt{2}} \log \left|\frac{\tan x / 2-1-\sqrt{2}}{\tan x / 2-1+\sqrt{2}}\right|\right\}+C \)
(b) \( 2\left\{(\sin x+\cos x)+\frac{1}{\sqrt{2}} \log \left|\frac{\tan x / 2-1-\sqrt{2}}{\tan x / 2-1+\sqrt{2}}\right|\right\}+C \)
(c) \( \frac{1}{2}\left\{(\sin x-\cos x)+\frac{1}{\sqrt{2}} \log \left|\frac{\tan x / 2-1-\sqrt{2}}{\tan x-1+\sqrt{2}}\right|\right\}+C \)
(d) None of these
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