4int(sin^(3)x+cos^(3)x)/(sin^(2)2x)dx=...

`4int(sin^(3)x+cos^(3)x)/(sin^(2)2x)dx=`

A

`secx-cosecx+c`

B

`secx+cosecx+c`

C

`sinx-cosx+c`

D

`sinx+cosx+c`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

int(1+cos^(2)x)/(sin^(2)x)dx=

int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx=

int(sin^(4)x-cos^(4)x)dx=

int(sinxcosx)/(3sin^(2)x+5cos^(2)x)dx=

int(sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)dx

The integral int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3)xcos^(2)x+cos^(5)x)^(2)dx is equal to (where c is a constant of integration)

Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

int(sin^4x-cos^4x) dx =