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int (x^(2)+cos^(2)x)/(x^(2)+1) "cosec"^(...

` int (x^(2)+cos^(2)x)/(x^(2)+1) "cosec"^(2) xdx ` is equal to -

A

`cot x - cot^(-1) x + c`

B

` c - cot x + cot^(-1)x`

C

` - tan^(-1) x - ("cosec x")/(sec x ) + c `

D

` -e ^(log tan^(-1) x - cot x + c `

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
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Knowledge Check

  • int cosec x dx is equal to-

    A
    `cosec x cot x+c`
    B
    `log | tan ""(x)/(2)|+c`
    C
    `log | cot ""(x)/(2)|+c`
    D
    `cosec x - cot^(2) x+c`

  • The value of int_(0)^(pi) (x)/(a^(2)cos^(2)x+b^(2)sin^(2)x)dx is equal to -

    A
    `(pi)/(2ab)`
    B
    `(pi)/(ab)`
    C
    `(pi^(2))/(2ab)`
    D
    `(pi^(2))/(ab)`

  • int sec^(2) x " cosec"^(2) xdx is a function of -

    A
    tan x
    B
    sin x
    C
    cos x
    D
    none of these

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