Home
Class 12
MATHS
Integrate the rational functions((x^2+1...

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

Text Solution

AI Generated Solution

To solve the integral of the rational function \(\frac{(x^2 + 1)(x^2 + 2)}{(x^2 + 3)(x^2 + 4)}\), we will follow these steps: ### Step 1: Expand the Numerator and Denominator First, we expand both the numerator and the denominator. - **Numerator**: \[ (x^2 + 1)(x^2 + 2) = x^4 + 2x^2 + x^2 + 2 = x^4 + 3x^2 + 2 ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise MISCELLANEOUS EXERCISE|44 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.3|24 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.7|14 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 rational functions x/((x+1)(x+2)

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

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

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

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

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

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

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

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

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