int sin 2x cos 2x dx...

`int sin 2x cos 2x dx`

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Knowledge Check

If int (sin2x-cos 2x)dx=(1)/(sqrt2) sin(2x-a)+b , then the values of a & b are

A

`a=-(5pi)/(4), b in R`

B

`a=(5pi)/(4), b in R`

C

`a inR, b=(5pi)/(4)`

D

`b=-(5pi)/(4), a in R`

int 1/(sin^2x cos^2x )dx is equal to:

A

`tanx+cotx+c`

B

`tanx-cotx+c`

C

`tanx.cotx+c`

D

`tanx-cot2x+c`

The integral int ((sin 2x+cos^(2)x)dx)/(1+sin^(2)x(sin 2x-cos^(2)x)) is equal to :- (Where c is constant of integration )

A

`tan^(-1)(tan^(2)x-tan x)+c`

B

`tan^(-1)(tan^(2)x+tan x)+c`

C

`cot^(-1)(tan^(2)x-tan x)+c`

D

`cot^(-1)(tan^(2)x+tan x)+c`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-INDEFINITE INTEGRATION

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