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

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

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Knowledge Check

  • int (1+tan^2 x)/(1-tan^2 x) dx equals

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

  • int(1+tan^(2)x)/(1-tan^(2)x)dx=....

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

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

    A
    `(sin 2x)/(2) + ` C
    B
    `- (1)/(2) ` sin 2 x + C
    C
    `(1)/(2) ` log | sec 2 x + tan 2 x + C
    D
    `(2)/(3)` log | sec x | + C

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