Home
Class 12
MATHS
int(sin2xdx)/(sin^(2)x+2cos^(2)x)=...

`int(sin2xdx)/(sin^(2)x+2cos^(2)x)=`

A

`1/2logabs(1+cos^(2)x)+c`

B

`2logabs(1+cos^(2)x)+c`

C

`1/2logabs(1+cos2x)+c`

D

`-logabs(1+cos^(2)x)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

int(dx)/(2sin^(2)x-3cos^(2)x+7)=

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

int (dx)/((4sin^(2)x+5cos^(2)x))=?

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=

int(sin2x)/(1+sin^(2)x)dx=

int (sin2x)/(sin^4x+cos^4x) dx

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