Home
Class 12
MATHS
Integrate the functionssqrt(4-x^2)...

Integrate the functions`sqrt(4-x^2)`

Text Solution

Verified by Experts

`" Let I " = int sqrt(4-x^(2)) dx= int sqrt(2^(2)-x^(2))dx`
`=(x)/(2) sqrt(4-x^(2)) +(4)/(2)sin^(-1) .(x)/(2) +C`
` =(x)/(2) sqrt(4-x^(2))+2sin^(-1) .(x)/(2) +C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.8|6 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.9|22 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.6|24 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Integrate the functions sqrt(1-4x^2)

Integrate the functions sqrt(1-4x-x^2)

Integrate the functions sqrt(x^2+3x)

Integrate the functions (sqrt(x^2+1)[log(x^2+1)-2logx])/(x^4)

Integrate the functions sqrt(1+(x^2)/9)

Integrate the functions sqrt(1+(x^2)/9)

Integrate the functions xsqrt(x+2)

Integrate the functions sqrt(x^2+4x+6)

Integrate the functions sqrt(x^2+4x+1)

Integrate the functions sqrt(x^2+4x-5)