Home
Class 12
MATHS
Evaluate the following integrals: int ((...

Evaluate the following integrals: `int ((x^2-1)dx)/x^3`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION X MOST IMPORTANT QUESTIONS FOR PRACTICE)|12 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XI MOST IMPORTANT QUESTIONS FOR PRACTICE)|31 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VIII MOST IMPORTANT QUESTIONS FOR PRACTICE)|28 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int(1)/(x^3-1)dx

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

Evaluate the following integrals: int(2x)/(x^3-1)dx

Evaluate the following integrals: int 1/(x-x^3)dx

Evaluate the following integrals: int(x^2)/(x^2-1)dx

Evaluate the following integrals: int (2x)/(x^3 -1)dx

Evaluate the following integrals: int x^3/(1-x) dx

Evaluate the following integrals: int(1)/(x-x^3)dx

Evaluate the following integrals: int(1)/(1-x^3)dx