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 \[y=x,\] x-axis and ordinates \[x=-1\] to \[x=2\] is                                           [RPET 2001]

    A)            0    

    B)            1/2

    C)            3/2

    D)            5/2

    Correct Answer: D

    Solution :

               Bounded area = \[\left| \int_{-1}^{0}{x\,dx} \right|+\left| \int_{0}^{2}{x\,dx} \right|\]           \[=\left| \,-\frac{1}{2} \right|+|2|\]\[=2+\frac{1}{2}=\frac{5}{2}\].


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