int(sqrt(x-1))/(xsqrt(x+1))dx is equal t...

`int(sqrt(x-1))/(xsqrt(x+1))dx` is equal to

A

a) `ln|x-sqrt(x^(2)-1)|-tan^(-1)x+C`

B

b) `ln|x+sqrt(x^(2)-1)|-tan^(-1)x+C`

C

c) `ln|x-sqrt(x^(2)-1)|-sec^(-1)x+C`

D

d) `ln|x+sqrt(x^(2)-1)|-sec^(-1)x+C`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The value of int_(0)^(1)sqrt(x)e^(sqrt(x))dx is equal to a) ((e-2))/(2) b) 2(e-2) c) 2e-1 d) 2(e-1)

int (sqrt (x^(2) -1 ))/(x ) dx is equal to

int(x^(5))/(sqrt(1+x^(3)))dx is equal to

int(dx)/(sqrt(1-e^(2x))) is equal to

int_(2016)^(2017) sqrt(x)/(sqrt(x)+sqrt(4033-x)) dx is equal to

int(1)/(8 sin^(2)x + 1)dx is equal to

int(x^(3))/(x+1)dx is equal to

int((x^(4)-x)^(1//4))/(x^(5))dx is equal to

int(1+x)/(x+e^(-x))dx is equal to