Home
Class 12
MATHS
Evaluate : int (1)/(4+x^(2)) " dx "...

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

Text Solution

Verified by Experts

`int(1)/(4+x^(2)) dx`
`=int(1)/(x^(2) +2^(2)). dx =(1)/(2) "tan"^(-1) (x)/(2)+c.`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7a|14 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7b|26 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate : int1/(4+9x^(2)) dx

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

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

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

Evaluate : int(1)/(x^(2)+4x+13)dx .

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

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

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

Evaluate: int(1)/(x^(2)+4x-5)dx