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

  • question_answer The area bounded by the curve \[y={{(x+1)}^{2}},\,y={{(x-1)}^{2}}\] and the line \[y=\frac{1}{4}\] is                                           [IIT Screening 2005]

    A)            1/6

    B)            2/3

    C)            1/4

    D)            1/3

    Correct Answer: D

    Solution :

               Required area \[\left. =2\left| \int_{1/4}^{1}{(\sqrt{y}-1)\ dy} \right. \right|\],(From the symmetry)            On solving, we get required area \[=\frac{1}{3}\] sq. unit.

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