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int(e^(-4x)+e^(-2x)+1)/(e^-x)dx...

`int(e^(-4x)+e^(-2x)+1)/(e^-x)dx`

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int (e^(2x) +e^(-2x))/(e^(x)) dx

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Knowledge Check

  • int_(0)^(1)(e^(-2x))/(1+e^(-x))dx=

    A
    `log((1+e)/e)-1/e+1`
    B
    `log((1+e)/(2e))-1/e+1`
    C
    `log((1+e)/(2e))+1/e-1`
    D
    `log((1+e)/2)+1/e-1`

  • int ((e ^(2x) + e ^(-2x)))/( e^(x)) dx =

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

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    int(e^(x))/((e^(x)-1)(e^(x)+2))dx=

    int(e^(2x)+1)/(e^(x))dx

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