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Find an anti-derivative of sec^(2)((x)/(...

Find an anti-derivative of `sec^(2)((x)/(4))`.

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Knowledge Check

  • The anti-derivative of x/(cos^(2)x) is

    A
    `xtanx+c`
    B
    `logabs(cosx)+c`
    C
    `xtanx+logabs(cosx)+c`
    D
    `cotx+c`

  • The derivative of y = sec^(-1) ((1)/(8x)) is

    A
    `(8)/(1 + 64 x^(2))`
    B
    `- (8)/(1 + 64 x^(2))`
    C
    `- (8)/(sqrt(1 - 64 x^(2))`
    D
    None of these

  • Derivative of sec^(2)(tan^(-1)x) w.r.t. x is

    A
    `2x`
    B
    `x^(2)+1`
    C
    `x+1`
    D
    `x^(2)`