Home
Class 12
MATHS
Integrate the rational functions(2x)/(x...

Integrate the rational functions`(2x)/(x^2+3x+2)`

Text Solution

AI Generated Solution

To solve the integral of the rational function \( \frac{2x}{x^2 + 3x + 2} \), we will follow these steps: ### Step 1: Factor the Denominator First, we need to factor the denominator \( x^2 + 3x + 2 \). \[ x^2 + 3x + 2 = (x + 1)(x + 2) \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|44 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.3|24 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise Exercise 7.11|20 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 rational functions (2x)/((x^2+1)(x^2+3)

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

Integrate the rational functions 1/(x^4-1)

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

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

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

Integrate the rational functions (3x+5)/(x^3-x^2-x+1)

Integrate the rational functions 1/(x(x^4-1)

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

Integrate the rational functions x/((x+1)(x+2)