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Prove that: int0^(2a)f(x)dx=int0^(2a)...

Prove that: `int_0^(2a)f(x)dx=int_0^(2a)f(2a-x)dxdot`

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Explore conceptually related problems

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

Prove that int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx

Knowledge Check

  • int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

    A
    `int_(0)^(a)f(x)dx`
    B
    `int_(0)^(a)f(2a-x)dx`
    C
    `int_(0)^(a)f(a-2x)dx`
    D
    `int_(0)^(a)f(a+2x)dx`

  • int_0^a f(a-x) dx=

    A
    `int_0^(2a) f(x) dx`
    B
    `int_(-a)^a f(x) dx`
    C
    `int_0^a f(x) dx`
    D
    `int_a^0 f(x) dx`.

    • Similar Questions

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    If f(x) is a continuous function defined on [0,\ 2a]dot\ Then prove that int_0^(2a)f(x)dx=int_0^a{f(x)+(2a-x)}dx

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    prove that : int_(0)^(2a) f(x)dx = int_(0)^(a) f(x)dx + int_(0)^(a)f(2a-x)dx

    Prove that int_(0)^(2a)f(x)dx=int_(a)^(a)[f(a-x)+f(a+x)]dx

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