Home
Class 12
MATHS
Integrate the functionssqrt(x^2+4x+1)...

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

Text Solution

AI Generated Solution

To integrate the function \( \sqrt{x^2 + 4x + 1} \), we can follow these steps: ### Step 1: Simplify the expression under the square root We start with the expression \( x^2 + 4x + 1 \). We can complete the square for this quadratic expression. \[ x^2 + 4x + 1 = (x^2 + 4x + 4) - 3 = (x + 2)^2 - 3 \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.5|23 Videos

  • INTEGRALS

    NCERT|Exercise MISCELLANEOUS EXERCISE|44 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.10|10 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 sqrt(x^(2)+3x)

Integrate the functions x sqrt(x+2)

Integrate the functions sqrt(x^(2)+4x+6)

Integrate the functions sqrt(x^(2)+4x-5)

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

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

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

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

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

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