Home
Class 12
MATHS
Integrate the functionssqrt(x^2+4x-5)...

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

Text Solution

AI Generated Solution

To solve the integral \(\int \sqrt{x^2 + 4x - 5} \, dx\), we will follow these steps: ### Step 1: Rewrite the expression under the square root First, we need to complete the square for the quadratic expression \(x^2 + 4x - 5\). \[ x^2 + 4x - 5 = (x^2 + 4x + 4) - 4 - 5 = (x + 2)^2 - 9 \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise Exercise 7.11|20 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.5|23 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.10|10 Videos
  • DIFFERENTIAL EQUATIONS

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

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Integrate the functions sqrt(4-x^2)

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

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

Integrate the functions sqrt(a x+b)

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

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

Integrate the functions sin^4x