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if int e^sinx (xcos^3x-sinx)/(cos^2x)dx ...

if `int e^sinx (xcos^3x-sinx)/(cos^2x)dx` and `f(0)=1` then `f(pi)=` is

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Knowledge Check

  • What is inte^(sinx)(xcos^(3)x-sinx)/(cos^(2)x) dx equal to ?

    A
    `(x+secx)e^(sinx)+c`
    B
    `(x-secx)e^(sinx)+c`
    C
    `(x+tanx)e^(sinx)+c`
    D
    `(x-tanx)e^(sinx)+c`

  • If inte^(sinx)[(xcos^3x-sinx)/(cos^2x)]dx=e^(sinx)*f(x)+c , where c is constant of integration, then f(x)=

    A
    `secx-x`
    B
    `x-secx`
    C
    `tanx-x`
    D
    `x-tanx`

  • If inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c , where c is constant of integration, then f(x)=

    A
    `secx-x`
    B
    `x-secx`
    C
    `tanx-x`
    D
    `x-tanx`

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    If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =

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