Home
Class 12
MATHS
Evaluate: int(x^4+1)/(x^6+1)dx...

Evaluate: `int(x^4+1)/(x^6+1)dx`

Text Solution

Verified by Experts

Given, `int(x^4+1)/(x^6+1)dx`
= `int((x^4+1)(x^2+1))/((x^2+1)(x^6+1))dx`
=`int(x^6+x^2+x^4+1)/((x^2+1)(x^6+1))dx`
=`int((x^6+1)+(x^2(x^2+1)))/((x^2+1)(x^6+1))dx`
=`int((x^6+1))/((x^2+1)(x^6+1))+(x^2(x^2+1))/((x^2+1)(x^6+1))dx`
=`int dx/(x^2+1)+1/3int(3x^2)dx/(x^6+1)`
Put,` x^3=t`
...
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^(4)+1)/(x^(2)+1)dx

Evaluate: int(1)/(x(x^(6)+1))dx

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

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

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

Evaluate: int(1)/(x^(4)+x^(6))dx

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

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

" Evaluate : "int(x+4)/(x+1)dx

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