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The value of the integral int0^(2a)[(f...

The value of the integral `int_0^(2a)[(f(x))/({f(x)+f(2a-x)})]dx "is equal to "a`

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Knowledge Check

  • The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

    A
    `pi//4`
    B
    `pi//2`
    C
    `pi`
    D
    0

  • Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then, the value of the integral int_(0)^(a) (1)/(1+e^(f(x)))dx is equal to

    A
    a
    B
    `(a)/(2)`
    C
    f(a)
    D
    `(1)/(2)f(a)`

  • If f(x) is a continuous function satisfying f(x)=f(2-x) , then the value of the integral I=int_(-3)^(3)f(1+x)ln ((2+x)/(2-x))dx is equal to

    A
    `3pi`
    B
    `6pi`
    C
    0
    D
    `9pi`

    • Similar Questions

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