int1/((x-1)sqrt(x^(2)-4))dx=...

`int1/((x-1)sqrt(x^(2)-4))dx=`

A

(a) `-1/sqrt(5)logabs(1/(x-1)+1/5+sqrt((x^(2)+4)/(x-1)^(2)))+c`

B

(b) `-1/sqrt(5)logabs(1/(x-1)+1/5+sqrt((x^(2)+4)/(5(x-1)^(2))))+c`

C

(c) `-1/sqrt(5)logabs(1/(x-1)+1/5sqrt((x^(2)+4)/(x-1)^(2)))+c`

D

(d) None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Evaluate: int1/((x^2-1)sqrt(x^2+1))\ dx

If int1/((1+x^(2))sqrt(1-x^(2)))dx=F(x) " and " F(1)=0 , then for x gt 0, F(x)=

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

int1/(sqrt(1-16x^2))

Evaluate int_(0)^(1//2)(xsin^(-1)x)/(sqrt(1-x^(2)))dx .

If int1/((1+x)sqrt(x))dx=f(x)+A , where A is any arbitrary constant, then the function f(x) is

Evaluate: int1/(x^2sqrt(1+x^2))\ dx

int1/sqrt(8+2x-x^(2))dx=