A) \[\frac{1}{4}\]
B) \[\frac{4}{3}\]
C) \[\log \sqrt{2}-\frac{1}{4}\]
D) None of these
Correct Answer: D
Solution :
Shaded area\[=\int_{0}^{\pi /2}{\,\tan x\,dx}\]\[=[\log \sec x]_{0}^{\pi /4}\] \[=\log \sec \,(\pi /4)-\log \sec 0\]\[=\log \sqrt{2}-\log 1\]\[=\log \sqrt{2}\].You need to login to perform this action.
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