Home
Class 12
MATHS
int1/((x-1)sqrt(x^(2)-4))dx=...

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

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

int(1)/((x-1)sqrt(x^(2)+4))dx

Evaluate: int(1)/((x-1)sqrt(x^(2)+4))dx

int 1/((x^2+4)sqrt(x^2-4))dx

int(1)/(sqrt(4x^(2)-x+4))dx

int(1)/(sqrt(4x^(2)-4x+3))dx=

int (4x-1) sqrt(x^2-x-2) dx

Evaluate int1/(x(sqrt(ax-x^2)))dx

Evaluate: int1/(x^(3)sqrt(x^2-1))\ dx

int(x)/(x^(2)sqrt(x^(4)-1))dx

int(dx)/(sqrt(4x^(2)+1))