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

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

Text Solution

Verified by Experts

The correct Answer is:
`:.I=(2)/(sqrt(3))tan^(-1)((2x-1)/(sqrt(3)))+C" " [ "using" int(1)/(x^(2)+a^(2))dx+(1)/(a)tan^(-1)(x/a)+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(1)/(x^(2)-x+1)dx

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

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

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

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

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

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

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

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

evaluate int(3x-1)/(x^(2)-1)dx