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

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

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{x^3}{(x^2 + 1)^3} \, dx, \] we can use substitution and integration techniques. Here’s a step-by-step solution: ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Evaluate: int(x^3)/(x^4+x^2+1)\ dx

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

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

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

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