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int(1)/(1+3 cos^(2) x)dx...

`int(1)/(1+3 cos^(2) x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2) tan^(-1) ((tanx)/(2))+c`
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int(1)/(1-cos^(2)x)*dx=

int(1)/(1-cos^(2)x)dx=

Knowledge Check

  • int_(0)^(pi//2)(1)/(1+3 cos^(2)x)dx=

    A
    `(pi)/(2)`
    B
    `(pi)/(4)`
    C
    `pi`
    D
    `(pi)/(8)`

  • int1/(1+cos^(2)x)dx=

    A
    `1/sqrt(2)tan^(-1)(tanx)+c`
    B
    `1/sqrt(2)tan^(-1)(1/2tanx)+c`
    C
    `1/sqrt(2)tan^(-1)(1/sqrt(2)tanx)+c`
    D
    `sqrt(2)tan^(-1)(1/sqrt(2)tanx)+c`

    • Similar Questions

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    int(1)/(1+3cos^(2)x)dx=(1)/(2)tan^(-1)((tan x)/(2))+c

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

    int(1)/(1-cos 2x) dx

    Evaluate: int(1)/(2-3cos2x)dx

    Evaluate: int(1)/(2-3cos2x)dx

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