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 lines \[y=x,\,\,x=-1,\,\,x=2\] and \[x-\]axis is

    A)            \[\frac{5}{2}\]sq. unit       

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

    C)            \[\frac{1}{2}\]sq. unit       

    D)            None of these

    Correct Answer: A

    Solution :

                       Required area \[\int_{-1}^{2}{\,y\,dx}=\int_{-1}^{0}{\,y\,.\,dx+\int_{0}^{2}{y\,.\,dx=\frac{5}{2}}}\]sq. unit.

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