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

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

Text Solution

AI Generated Solution

To evaluate the integral \[ \int \frac{1}{\sqrt{(2-x)^2 + 1}} \, dx, \] we will use a trigonometric substitution. Here are the steps: ...
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(2x-x^2))\ dx

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

Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx (ii) int(x^4+1)/(x^2+1)\ dx

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

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

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

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

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

Evaluate int dx/(sqrt(2x+1)

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