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int(dx)/(sqrt(1+cos2x))...

`int(dx)/(sqrt(1+cos2x))`

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Explore conceptually related problems

Evaluate: (i) int(1)/(sqrt(1+cos2x))dx (ii) int(1)/(sqrt(1-cos x))dx

Evaluate: (i) int(1)/(sqrt(1-cos2x))dx (ii) int(1)/(sqrt(1+cos x))dx

Knowledge Check

  • int(secx)/(sqrt(cos2x))dx=

    A
    `sin^(-1)(tanx)+c`
    B
    `cos^(-1)(tanx)+c`
    C
    `tanx+c`
    D
    `(sinx)(sqrt(cosx))+c`

  • int(secx)/(sqrt(cos2x))dx is

    A
    ` tan^(-1)` (sinx ) +c
    B
    `2 sin^(-1) ` (tan x) +c
    C
    `tan^(-1) ` (cos x) +c
    D
    `sin^(-1) ` (tan x ) +c

  • int(sinx)/(sqrt(cos2x))dx=

    A
    `(-1)/(sqrt2)log[sqrt2 cos x+sqrt(cos2x)]+c`
    B
    `(-1)/(sqrt2)log[sqrt2 cos x+sqrt(2sin^(2)x-1)]+c`
    C
    `(-1)/(sqrt2)log[sqrt2 cos x+sqrt(1-2cos^(2)x)]+c`
    D
    `(-1)/(sqrt2)sec^(-1)(2cos^(2)x-1)+c`

    • Similar Questions

    Explore conceptually related problems

    Evaluate: int(1)/(sqrt(1+cos2x))dx

    int(secx)/(sqrt(cos2x))dx=

    int(secx dx)/(sqrt(cos2x))=

    int(1)/(sqrt(1+cos 2x))dx

    int(cosx)/(sqrt(cos2x))dx=

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