Home
Class 12
MATHS
If int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+...

If `int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+Bcot^(3)x+k`, then A+B equals

A

`(8)/(15)`

B

`-(8)/(15)`

C

`(15)/(8)`

D

`-(15)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

int(1)/(cos^(2) x-3 sin^(2) x)dx

int(sin 2x)/(5-cos^(2) x)dx

int(sin^(6)x + cos^(6)x)/(sin^(2)xcos^(2)x)dx

int(sin^(6)x + cos^(6)x)/(sin^(2)xcos^(2)x)dx

int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)

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

int cos^(3) x. sin x dx

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

int(sin x+x cos x)/(x sin x)dx