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int"cosec"^(2)(2x+5)dx...

`int"cosec"^(2)(2x+5)dx`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(2)cot(2x+5)+C`
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int " cosec"^(4) 2x dx

Evaluate int "cosec"^(4)x dx

Knowledge Check

  • inte^(x)(cotx-"cosec"^(2)x)dx=?

    A
    `-e^(x)"cosec"^(2)x+C`
    B
    `e^(x)"cotx+C`
    C
    `-e^(x)"cotx+C`
    D
    none of these
  • int"cosec"^(3)(2x+1)cot(2x+1)dx=?

    A
    `(1)/(4)"cosec"^(4)(2x+1)+C`
    B
    `-(1)/(3)"cosec"^(3)(2x+1)+C`
    C
    `-(1)/(6)"cosec"^(3)(2x+1)+C`
    D
    `(1)/(2)"cosec"(2x+1)cot(2x+1)+C`
  • int"cosec"^(4)x dx is equal to

    A
    `cotx+(cot^(3))/(3)+C`
    B
    `tanx+(tan^(3)x)/(3)+C`
    C
    `-cotx-(cot^(3)x)/(3)+C`
    D
    `-tanx-(tan^(3)x)/(3)+C`
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