Home
Class 12
MATHS
Evaluate int(dx)/(x^3-1)...

Evaluate `int(dx)/(x^3-1)`

Text Solution

Verified by Experts

The correct Answer is:
`1/3 log |((1-x^(3))^(1//2)+x)/(x)|-1/6 log |((1-x^(3))^(2//3)-x(1-x^(3))^(1//3)+x^(2))/(x^(2))|-(1)/(sqrt(3))tan^(-1){(2(1-x^(3)))/(sqrt(3x))-x}^(1//3)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate int(dx) /(x(x^4+1)

Evaluate int(dx) /(x(x^5+1)