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 \[x-\]axis and the curve \[y=\sin x\] and \[x=0,\] \[x=\pi \] is                                  [Kerala (Engg.) 2002]

    A)            1    

    B)            2

    C)            3    

    D)            4

    Correct Answer: B

    Solution :

                       The curve is symmetric about x-axis,            \ Shaded area \[=2\int_{0}^{\pi /2}{\sin xdx=2[-\cos x]_{0}^{\pi /2}=2}\].

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