Home
Class 12
MATHS
Evaluate : int(1-x^2)/(x(1-2x))\ dxdot...

Evaluate : `int(1-x^2)/(x(1-2x))\ dxdot`

Text Solution

Verified by Experts

I= `int(1-x^2)/(x(1-2x))\ dxdot`
`(1-x^2)/(x(1-2x))=A/x+B/(1-2x)dx`
`1−x^2=A(1−2x)+Bx`
`1−x^2=A−2Ax+Bx`
Here, `A=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 : int(1-x^(2))/(x(1-x)) dx.

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

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

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

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

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

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

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

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

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