Home
Class 12
MATHS
Evaluate: int1/(sqrt(x^2-4x+2))\ dx...

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

Text Solution

AI Generated Solution

To evaluate the integral \( \int \frac{1}{\sqrt{x^2 - 4x + 2}} \, dx \), we can follow these steps: ### Step 1: Simplify the expression under the square root First, we need to rewrite the expression \( x^2 - 4x + 2 \) in a more manageable form. We can complete the square for the quadratic expression. \[ x^2 - 4x + 2 = (x^2 - 4x + 4) - 2 = (x - 2)^2 - 2 \] ...
Doubtnut Promotions Banner Mobile Dark
|

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^2-9 dx

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

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

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

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

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

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

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

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

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