JEE Main & Advanced Mathematics Definite Integration Question Bank Area Bounded by Region, Volume and Surface Area of Solids of Revolution

  • question_answer The area of the region bounded by the \[x-\]axis and the curves defined by \[y=\tan x,\,(-\pi /3\le x\le \pi /3)\] is [Kurukshetra CEE 1998]

    A)            \[\log \sqrt{2}\]                  

    B)            \[-\log \sqrt{2}\]

    C)            \[2\log 2\]                             

    D)            0

    Correct Answer: C

    Solution :

               Required area \[=2\int_{0}^{\pi /3}{\tan x\,dx}=2[\log \sec x]_{0}^{\pi /3}=2\log (2)\].


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