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 curve \[xy=c,\] \[x-\]axis between \[x=1\] and \[x=4,\] is

    A)            \[c\log 3\]sq. unit              

    B)            \[2\log c\]sq. unit

    C)            \[2c\log 2\]sq. unit            

    D)            \[2c\log 5\]sq. unit

    Correct Answer: A

    Solution :

               Required area \[=\int_{1}^{4}{y\,dx=c\int_{1}^{4}{\frac{1}{x}dx}}\]=\[2c\log 2\]sq. unit.

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