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JEE Main & Advanced Mathematics Definite Integration Question Bank Fundamental definite integration, Definite integration by substitution

  • question_answer
    The value of \[\int_{-2}^{2}{(a{{x}^{3}}+bx+c)}\] depends on                 [MNR 1988; UPSEAT 2000]

    A)                 The value of \[a\]           

    B)                 The value of \[b\]

    C)                 The value of \[c\]            

    D)                 The values of \[a\] and \[b\]

    Correct Answer: C

    Solution :

               \[\int_{-2}^{2}{(a{{x}^{3}}+bx+c)dx=\left[ \frac{a{{x}^{4}}}{4}+\frac{b{{x}^{2}}}{2}+cx \right]}_{-2}^{2}\]= 4c.                                 Hence depends on \[c\].


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