In the integral int(cos 8x+1)/(cot 2x...

In the integral
`int(cos 8x+1)/(cot 2x-tan 2x)dx=A cos 8x+k`, where k is an arbitrary constant,then A is equal to

A

`-(1)/(16)`

B

`(1)/(16)`

C

`(1)/(8)`

D

`-(1)/(8)`

Text Solution

Verified by Experts

The correct Answer is:

A

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Knowledge Check

If int(cos8x+1)/(cot2x-tan2x)dx=Acos8x+k , where k is an arbitrary constant, then A is equal to

A

`-1/(16)`

B

`1/(16)`

C

`1/8`

D

`-1/8`

int (cos 4x - 1)/(cot x - tan x) dx =

A

`-1/2 "cos" 4x + c`

B

`-1/4 "cos" 4x + c`

C

`-1/2 sin 2x + c`

D

None of these

What is int (x cos x + sin x) dx equal to ? Where c is an arbitrary constant

A

`x sin x + c`

B

`x cos x + c`

C

`-x sin x + c`

D

`-x cos x + c`

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