Home
Class 12
MATHS
Evaluate: int(x^3)/((x+1)^2)\ dx...

Evaluate: `int(x^3)/((x+1)^2)\ dx`

Text Solution

Verified by Experts

`intx^(3)/(x+1)^(2)dx=int(x^(3)+1-1)/(x+1)^(2)dx=int(x^(3)+1)/(x+1)^(2)dx-int(1/(x+1)^(2))dx`
`=int(x-2+3/(x+1))dx-int1/(x+1)^(2)dx=x^(2)/2-2x+3ln(x+1)+1/(x+1)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise EXERCISE -1 SUBJECTIVE QUESTIONS|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SUBJECTIVE QUESTIONS|14 Videos
  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(x^3)/(x+1)dx

Evaluate: int(x^3)/(x+1)dx

Evaluate: int(x^2)/((x-1)^3)\ dx

Evaluate: int(x^3)/((x-1)(x-2))\ dx

Evaluate: int(x^3)/((x-1)(x-2))\ dx

Evaluate: int(3x-1)/((x+2)^2)\ dx

Evaluate: int(x^3)/((x^2+1)^3)dx

Evaluate: int(x^3)/((x^2+1)^3)dx

Evaluate: int(x+2)/((x+1)^3)\ dx

Evaluate: int(x^3-1)/(x^2)\ dx