Home
Class 12
MATHS
Evaluate : int0^1 1/(1+x^2)dx...

Evaluate : `int_0^1 1/(1+x^2)dx`

Text Solution

Verified by Experts

`int_0^1 1/(1+x^2)dx`
`=[cos^(-1)]_0^1`
`=cos^(-1)1-cos^(-1)0`
`=(pi)/4`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA|Exercise Solved Examples And Exercises|277 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int_0^(1) ((1)/(1+x^(2))) sin^(-1)""((2x)/(1+x^(2))) dx

Evaluate int_0^1 x/(1+x^2) dx

Evaluate: int_0^1 |3x-1| dx

Evaluate int_0^1 x^7dx

Evaluate int_0^1 log(1+x)/(1+x^2)dx

Evaluate: int_0^1 cot^-1(1-x+x^2)dx

Evaluate: int_0^pi x/(1+cos^2x)dx

Evaluate : int_(0)^(1) (x+1)^(2)dx

Evaluate: int_0^1x(1-x)^n dx

Evaluate : int_0^2(dx)/((1-x)^2)