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

  • question_answer The area between the curve \[y=4+3x-{{x}^{2}}\] and  x-axis is                                                                       [RPET 2001]

    A)            125/6                                       

    B)            125/3

    C)            125/2                                       

    D)            None of these

    Correct Answer: A

    Solution :

               Solving \[y=0\] and \[y=4+3x-{{x}^{2}},\]we get \[x=-1,\,4\]. Curve does not intersect x-axis between \[x=-1\]and \[x=4\].            \ Area \[=\int_{-1}^{4}{(4+3x-{{x}^{2}})dx=\frac{125}{6}}\].


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