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

Evaluate : `int_(1)^(2) (dx)/(xsqrt(x^(2)-1))`

Text Solution

Verified by Experts

`int_(1)^(2)(dx)/(xsqrt(x^(2)-1) ) =[sec^(-1) x]_(1)^(2)`
`sec^(-1) s-sec ^(-1) 1`
`=(pi)/(3)-0 =(pi)/(3).`
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)^(2)x^(2)dx

int(dx)/(xsqrt(x^(2)-4))

Evaluate : int_(1)^(2) (x )/(1+x^(2))dx

int(dx)/(xsqrt(x^(6)-1))=?

Evaluate int_(1)^(2)(dx)/((x+1)(x+2))

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

Evaluate int_(1)^(2)(dx)/((x+1)(x+2))

Evaluate int(log(sec^(-1)x)dx)/(xsqrt(x^(2)-1))dx

The value of int _(-1)^(1) (x)/(sqrt(1-x^(2))). sin^(-1) (2xsqrt(1-x^(2)))dx is equal to

Evaluate int_(-2)^(1)(|x|)/(x)dx