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int(dx)/(sin^2 x cos^2x)...

`int(dx)/(sin^2 x cos^2x)`

Text Solution

Verified by Experts

The correct Answer is:
`tan x - cot x + c`
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Evaluate : int(dx)/(sin^(2)cos^(2)x)

int (4)/(sin^2 x cos^(2) x)dx is equal to :

Knowledge Check

  • int(1)/(sin^(2)x cos^(2)x)dx=

    A
    `-cot x + tan x`
    B
    `cot x - tan x`
    C
    `-cot x - tan x`
    D
    `cot x + tan x`

  • int dx/(sin x + cos x) =

    A
    `1/sqrt2 log tan (x + pi/4)`+c
    B
    `1/sqrt 2 log tan (x/2 + pi/8)`+c
    C
    `log tan( pi/2 + pi/8)`+c
    D
    0

  • int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

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

    • Similar Questions

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    int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

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    Find : int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx :

    int (dx)/(sin x - cos x + sqrt2) =

    int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =

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