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 \[y={{x}^{3}},\] \[x-\]axis and ordinates \[x=1\] and \[x=4,\] is

    A)            64 sq. unit                             

    B)            27 sq. unit

    C)            \[\frac{127}{4}\]sq. unit  

    D)            \[\frac{255}{4}\]sq. unit

    Correct Answer: D

    Solution :

               Required area \[=\int_{1}^{4}{{{x}^{3}}dx=\left[ \frac{{{x}^{4}}}{4} \right]_{1}^{4}=\frac{255}{4}}\] sq. unit.

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