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If f(x)=int(3x^4-1)/(x^4+x+1)^2dx and f(...

If `f(x)=int(3x^4-1)/(x^4+x+1)^2dx` and `f(0)=0`, then `f(-1)=`…

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Knowledge Check

  • Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

    A
    `-(1)/(sqrt(2))`
    B
    `(1)/(sqrt(2))`
    C
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  • If f(x)=int((5x^4+4x^5))/((x^5+x+1)^(2))dx and f(0)=0, then the value of f(1) is :

    A
    1
    B
    `(1)/(2)`
    C
    `(1)/(3)`
    D
    `(1)/(5)`

  • If f(x) = f(x) + int_(0)^(1) f(x) dx , d(0) =1 then f(x) =

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

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