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int e^x ((sinx + cosx)/(cos^2 x)) dx...

`int e^x ((sinx + cosx)/(cos^2 x)) dx`

Text Solution

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`e^x sec x + c`
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Knowledge Check

  • int(cos2x)/(cosx)dx =

    A
    `2sinx+logabs(secx+tanx)+c`
    B
    `2sinx-logabs(secx-tanx)+c`
    C
    `2sinx-logabs(secx+tanx)+c`
    D
    `2sinx+logabs(secx-tanx)+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`
  • int (e^x (1+x))/(cos^2(xe^x)) dx is

    A
    `tan(xe^x)` + c
    B
    `tan^-1 (xe^x)` + c
    C
    `sqrttan(xe^x) + c`
    D
    None of these
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