Evaluate : int"cosec"x("cosec "x-cotx)dx...

Evaluate : `int"cosec"x("cosec "x-cotx)dx.`

Text Solution

Verified by Experts

The correct Answer is:

`-cotx+"cosec "x+c`

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Find int cosecx(cosecx + cotx)dx .

cosec x =-2

Knowledge Check

int cosec(x-a)cosecx dx =

A

`1/sina log[sin(x-a). Cosec x]`

B

`1/sina log [sin(x-a).sinx]`

C

`(-1)/sin a log[sin x cosec(x-a)]`

D

`(-1)/sin a log[sin(x-a)sinx]`

sec (cosec^(-1) x)=

A

`cosec(sec ^(-1) x)`

B

`cot x`

C

`pi`

D

none of these

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OSWAAL PUBLICATION-INTEGRALS-DEFINITE INTEGRALS (LONG TYPE ANSWER TYPE QUESTIONS - III)

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