Home
Class 12
MATHS
Integrate the functions(6x+7)/(sqrt((x-5...

Integrate the functions`(6x+7)/(sqrt((x-5)(x-4)))`

Text Solution

AI Generated Solution

To solve the integral of the function \(\frac{6x + 7}{\sqrt{(x - 5)(x - 4)}}\), we can follow these steps: ### Step 1: Rewrite the Denominator First, we rewrite the denominator: \[ \sqrt{(x - 5)(x - 4)} = \sqrt{x^2 - 9x + 20} \] So, the integral becomes: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.2|39 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 1/(sqrt((x-a)(x-b)))

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

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

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

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

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

Integrate the functions 1/(sqrt(8+3x-x^2))

Integrate the functions 1/(sqrt(9-25 x^2))

Integrate the functions 1/(sqrt(7-6x-x^2)

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