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The value of int ("cosec" 2x cot 2x) dx...

The value of `int ("cosec" 2x cot 2x) ` dx is -

A

` - (cot 2x)/2 + c `

B

` 2 cot 2x + c`

C

` - 2 " cosec " 2x + c `

D

` - ("cosec"2x)/2 +c`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The value of int "cosec"^(4) x dx is-

    A
    `-cotx + 1/3 cot^(3) x + c`
    B
    `cot x + 1/3 cot^(3) x + c`
    C
    `cot x - 1/3 cot^(3)x + c`
    D
    `-(cotx + 1/3 cot^(3)x) +c`

  • The value of (cosec 2A - cot 2A) is-

    A
    `tan A`
    B
    ` sin A`
    C
    `cos A`
    D
    `cot A`

  • The value of int e^(x)(1-cot x+cot^(2)x)dx is -

    A
    `e^(x)cotx+c`
    B
    `e^(x)"cosec"x+c`
    C
    `-e^(x)cotx+c`
    D
    `-e^(x)"cosec"x+c`

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    Evaluate : int "cosec"^(4)x dx

    Prove by using definition of indefinite integral : int " cosec" mx cot mx dx = - ("cosec "mx)/m + c where m != 0 is a constant independent of x and c is an arbitrary constant .

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    The value of (cosec 2 theta -cot 2 theta) is-

    The value of int 2^(3x)dx is -

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