Home
Class 12
MATHS
Find int(x^(2))/((x^(2)+1)(x^(2)+4))dx...

Find `int(x^(2))/((x^(2)+1)(x^(2)+4))dx`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Short Answer Type Questions)|33 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Long Answer Type Questions)|13 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-7|44 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

int(x^(9))/((4x^(2)+1)^(6)) dx

Evaluate the following integration int(x^(2)+3)/(x^(6)(x^(2)+1))dx

Find int(x^(4)dx)/((x-1)(x^(2)+1))

Find int(x^(2)+x+1dx)/((x+2)(x^(2)+1))

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

Find int(x^(2)+1)/(x^(2)-5x+6)dx

Evaluate the following integration int(x^(4)+x^(2)+1)/(2(1+x^(2)))dx

int (x^(2))/(x^(4)-x^(2)-12)dx

Find int(dx)/((x+1)(x+2))

Integrate the following functions. int(x^(2)-1)/(x^(4)+x^(2)+1)dx