Home
Class 12
MATHS
Evaluate: int(a x^3+b x)/(x^4+c^2)dx...

Evaluate: `int(a x^3+b x)/(x^4+c^2)dx`

Text Solution

Verified by Experts

We have given
`int(a x^3+b x)/(x^4+c^2)dx`
`I=a int( x^3)/(x^4+c^2)dx+b int( x)/(x^4+c^2)dx`
`I=(a/4)log|x^4+c^2|+(b/(2c))tan^-1((x^2)/c)+c`
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(ax^(3)+bx)/(x^(4)+c^(2))dx

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

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

Evaluate int(x^(3))/(x^(4)-x^(2)-2)dx

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

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

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

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

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

" (a) Evaluate : "int((4x-3)^(3))/(x^(2))dx