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If int(x^(9)+x^(6)+x^(3))(2x^(6)+3x^(3)+...

If `int(x^(9)+x^(6)+x^(3))(2x^(6)+3x^(3)+6)^(1//3)dx=a(2x^(9)+3x^(6)+6x^(3))^(4//3)+c` then the value of 48a must be _______

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int_(, then ' a' is equal to: )^( If )(x^(9)+x^(6)+x^(3))(2x^(6)+3x^(3)+6)^((1)/(3))dx=(1)/(a)(2x^(9)+3x^(6)+6x^(3))^((4)/(3))+

Knowledge Check

  • If int(x^(6)+x^(4)+x^(2))(2x^(4)+3x^(2)+6)^(1//2)dx=k(Ax^(6)+Bx^(4)+Cx^(2))^(p)+C_(1) then

    A
    `k=(1)/(18), A=B=C=p`
    B
    `k=(1)/(18), A=2,B= 3, C=6, p=(3)/(2)`
    C
    `k=3, p=(1)/(3), A=B=C`
    D
    None of these

  • int((1+3x^(3))^(2//3))/(x^(6))dx=

    A
    `((1+3x^(3))^(3//5))/(3x^(3))+c`
    B
    `(-(1+3x^(3))^(5//3))/(5x^(5))+c`
    C
    `((x^(-3)+3)^(3//2))/(5x^(5))+c`
    D
    `(-(x^(-3)+3)^(5//3))/(3x^(5))+c`

  • If (6x + 1)/(3) +1 = (x-3)/(6) , then the value of x is :

    A
    1
    B
    `-1`
    C
    `3`
    D
    `-3`

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    If f(x)=x^(9)-6x^(8)-2x^(7)+12x^(6)+x^(4)-7x^(3)+6x^(2)+x-3,f(6)=

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