JEE Main & Advanced Mathematics Definite Integration Question Bank Self Evaluation Test - Application of Integrals

  • question_answer
    What is the area bounded by y = tan x, y = 0 and\[x=\frac{\pi }{4}\]?

    A) \[\ell \,n\,\,2\] square units

    B) \[\frac{\ell \,n\,\,2}{2}\]square units

    C) \[2(\ell n\,2)\] square units

    D) None of these

    Correct Answer: B

    Solution :

    [b] Required area \[=\int_{0}^{\frac{\pi }{4}}{\tan x\,dx}\] \[=ln\left| \sec 1 \right|_{0}^{\frac{\pi }{4}}=ln\,\,\sqrt{2}=\frac{ln\,\,2}{2}\]


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