If int(sqrt(cotx))/(sinx cos x)dx=a sqrt...

If `int(sqrt(cotx))/(sinx cos x)dx=a sqrt(cotx)+b`, then

A

`a=1, b=-2`

B

`a=2, b=1`

C

`a=-1, b epsilon R`

D

`a=-2, b epsilon R`

Text Solution

Verified by Experts

The correct Answer is:

D

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Knowledge Check

If int(sqrt(cotx))/(sinxcosx)dx=Psqrt(cotx)+Q , then P equals

A

1

B

2

C

`-1`

D

`-2`

If int(sqrt(cotx))/(sinxcosx)dx=Psqrt(cotx)+Q, then the value of P is

A

`-2`

B

2

C

3

D

`-3`

int(cotx)/(1+sinx)dx=

A

`log((sinx)/(1-sinx))+c`

B

`log((sinx)/(1+sinx))+c`

C

`log((1+sinx)/(x))+c`

D

`log(1+sinx)+c`

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