Home
Class 12
MATHS
Integrate the functions1/(sqrt(x^2+2x+2)...

Integrate the functions`1/(sqrt(x^2+2x+2))`

Text Solution

AI Generated Solution

To integrate the function \( \frac{1}{\sqrt{x^2 + 2x + 2}} \), we can follow these steps: ### Step 1: Simplify the expression under the square root We start with the expression inside the square root: \[ x^2 + 2x + 2 \] We can complete the square for the quadratic expression: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.2|39 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions x sqrt(x+2)

Integrate the functions sqrt(x^(2)+3x)

Integrate the functions (1)/(sqrt(1+4x^(2)))

Integrate the functions sqrt(4-x^(2))

Integrate the functions xsqrt(1+2x^2)

Integrate the functions sqrt(1-4x^(2))

Integrate the functions (1)/(x-sqrt(x))

Integrate the functions (1)/(sqrt((2-x)^(2)+1))

Integrate the functions (x-1)/(sqrt(x^(2)-1))

Integrate the functions (4x+1)/(sqrt(2x^(2)+x-3))