Home
Class 12
MATHS
Evaluate: int1/((x-1)sqrt(x^2-1))\ dx...

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

Text Solution

Verified by Experts

`Q int frac{1}{(x-1) sqrt{x^{2}-1}} d x`
put
` x-1=frac{1}{t} -> x=frac{1+t}{t}`
` t=frac{1}{x-1}`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

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

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

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