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Show that, int(0)^(pi)xf(sinx)dx=(pi)/(2...

Show that, `int_(0)^(pi)xf(sinx)dx=(pi)/(2)int_(0)^(pi)f(sinx)dx`.

Answer

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Prove that, int_(0)^(pi)f(sinx)dx=2int_(0)^((pi)/(2))f(sinx)dx .

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Knowledge Check

  • If int_(0)^(pi) x f(sinx) dx=A int_(0)^((pi)/(2))f(sinx)dx , then the value of A is -

    A
    `(pi)/(4)`
    B
    `(pi)/(2)`
    C
    `pi`
    D
    `2pi`
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