Home
Class 12
MATHS
Evaluate: int(x^2-sqrt(3)x+1)/(x^4-x^2+1...

Evaluate: `int(x^2-sqrt(3)x+1)/(x^4-x^2+1)\ dx`

Text Solution

Verified by Experts

`(∫x^2−sqrt(3)x+1)/(x^4−x^2+1)dx`
`=(∫x^2−sqrt(3)x+1)/((x^2−1)^2−3x^2)dx`
`=(∫x^2−sqrt(3)x+1)/((x^2−sqrt(3)x+1)(x^2+sqrt(3)x+1))dx`
...
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 int (x^(2)-sqrt(3x)+1)/(x^(4)-x^(2)+1)dx

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

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

Evaluate: int sqrt(3x^(2)+4x+1)dx

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

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

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

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

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

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