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int(ln(tanx)/(sinxcosx)dxi se q u a lto ...

`int(ln(tanx)/(sinxcosx)dx`i se q u a lto (a)`1/2ln(tanx)+c` (b) `1/2ln(tan^2x)+c` (c)`1/2(ln(tanx))^2+c` (d) none of these

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Knowledge Check

  • int(tanx)/(log(cosx))dx=

    A
    `-log(cosx)+c`
    B
    `log[log(cosx)]+c`
    C
    `-log[log(cosx)]+c`
    D
    `log[log(secx)]+c`

  • inte^(x)[tanx-log(cosx)]dx=

    A
    `e^(x)log(secx)+c`
    B
    `e^(x)log(cosecx)+c`
    C
    `e^(x)log(cosx)+c`
    D
    `e^(x)log(sinx)+c`

  • int_0^(pi//4)log(1+tanx)dx is equal to

    A
    `pi/8log_e2`
    B
    `pi/4log_2e`
    C
    `pi/4log_e2`
    D
    `pi/8log_e(1/2)`

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