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

  • question_answer The area of the region bounded by the curves \[y={{x}^{2}}\] and \[y=\,|x|\] is                                                [Roorkee 1999]

    A)            1/6

    B)            1/3

    C)            5/6

    D)            5/3

    Correct Answer: B

    Solution :

      Required area = 2 (shaded area in first quadrant)                               =\[2\int_{0}^{1}{(x-{{x}^{2}})\,dx=2\times \frac{1}{6}=\frac{1}{3}}\].

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