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

  • question_answer Area bounded by the parabola \[{{y}^{2}}=2x\] and the ordinates \[x=1,x=4\] is

    A)            \[\frac{4\sqrt{2}}{3}sq.\,unit\]                                        

    B)            \[\frac{28\sqrt{2}}{3}sq.\,unit\]

    C)            \[\frac{56}{3}\text{ }sq. unit\]                                         

    D)            None of these

    Correct Answer: B

    Solution :

               Required area = \[CDD'C'=2\times ABCD\]                    \[=2\int_{1}^{4}{\sqrt{2}}{{x}^{1/2}}\,dx=\frac{28\sqrt{2}}{3}\] sq. unit.

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