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Evaluate : int(0)^(oo)e^(-ax)x^(n)dx, wh...

Evaluate : `int_(0)^(oo)e^(-ax)x^(n)dx`, where `agt0`.

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Knowledge Check

  • int_(0)^(oo) e^(-mx) x^(7) dx is

    A
    `(lfloorm)/( 7^(m))`
    B
    `(lfloor 7)/(m^(7))`
    C
    `(lfloorm)/( 7^(m+1))`
    D
    `(lfloor7)/( m^(8))`

  • int_(0)^(prop) e^(-3x)x^(4)dx= .

    A
    `(8)/(81)`
    B
    `(8)/(9)`
    C
    `(8)/(27)`
    D
    `(16)/(27)`.

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    Evaluate: int_(0)^(1)e^(-2x)(1+x-2x^(3)) dx.

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