Home
Class 12
MATHS
Evaluate: int1/(sqrt(5x^2-2x))\ dx...

Evaluate: `int1/(sqrt(5x^2-2x))\ dx`

Text Solution

Verified by Experts

`I=int1/(sqrt(5x^2-2x))\ dx`
`I=int1/((sqrt5)(sqrt(x^2-2/5x)))\ dx`
`I=int1/((sqrt5)(sqrt(x^2-2/5x+(1/5)^2-(1/5)^2))\ dx`
`I=int1/((sqrt5)(sqrt(x-1/5)^2-(1/5)^2))\ dx`
`I=int1/(sqrt5)log(x-1/5+(sqrt(x-1/5)^2-(1/5)^2)+c`
`I=int1/(sqrt5)log(x-1/5+(sqrt(5x^2-2x))+c`
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/(sqrt(x^2-4x+2))\ dx

Evaluate: int1/(sqrt(5-4x-2x^2))\ dx

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

Evaluate: int1/(sqrt(3x^2+5x+7))\ dx

Evaluate: int1/(sqrt(8+3x-x^2))\ dx

Evaluate: int1/(sqrt(7-6x-x^2))\ dx

Evaluate: int1/sqrt(x^2-9 dx

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

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

Evaluate: int1/(sqrt(16-6x-x^2))\ dx