JEE Main & Advanced JEE Main Online Paper (Held on 9 April 2013)

  • question_answer
                    The area bounded by the curve \[y=\ln (x)\]and the lines \[y=0,\]\[y=\ln (3)\] and \[x=0\]is equal to:                  JEE Main Online Paper (Held On 09 April 2013)   

    A)                 3                

    B)                 \[3\,\ln (3)-2\]                

    C)                 \[3\,\,\ln (3)+2\]                

    D)                 2                

    Correct Answer: D

    Solution :

                    \[\therefore \] Required area \[=\int_{0}^{\log 3}{xdy=\int_{0}^{\log \,3}{{{e}^{y}}dy}}\]                 \[=[{{e}^{y}}]_{0}^{\log \,3}=\,[{{e}^{\log \,3}}-{{e}^{0}}]=3-1=2\]                


You need to login to perform this action.
You will be redirected in 3 sec spinner