Home
Class 12
MATHS
Resolve (x^(3)-6x^(2)+10x-2)/(x^(2)-5x+6...

Resolve `(x^(3)-6x^(2)+10x-2)/(x^(2)-5x+6)` into partial fractions.

Text Solution

Verified by Experts

The correct Answer is:
`x-1-(2)/(x-2)+(1)/(x-3)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise PART I (QUESTIONS FOR PRACTICE) (1 MARK)|13 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise PART I (QUESTIONS FOR PRACTICE) (4 MARK)|7 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x) = x^(3) - 6x^(2) + 12x - 18 is an increasing function on R.

Evaluate int_(1)^(2)(4x^(3)-5x^(2)+6x+9) dx

Find the intervals in which the function f given by f(x) = 4x^(3) - 6x^(2) - 72x + 30 is increasing and decreasing.

intdx/sqrt(x^2-6x+5)

int((x-1)(x-2)(x-3))/((x+4)(x-5)(x-6))dx

Evaluate the following lim_(xto3)(x^2+2x-15)/(x^2-x-6)