Home
Class 12
MATHS
Evaluate int (1)/((x+1)sqrt(x-2))dx....

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

Text Solution

Verified by Experts

The correct Answer is:
`I=2/sqrt(3)tan^(-1)((sqrt(x-2))/(sqrt(3)))+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate: int(1)/((x-1)sqrt(2x+3))dx

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

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

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

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