Home
Class 12
MATHS
Evaluate the following integral: int(-...

Evaluate the following integral: `int_(-1)^1|x+1|dx`

Text Solution

Verified by Experts

I=`int_(-1)^1|x+1|dx`
=`(x^2/2+x)_1^1`
=`(1/2​+1)−(1/2​−1)=1/2​+1−1/2​+1=2`
Doubtnut Promotions Banner Mobile Dark
|

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 the following integral: int_(0)^(1)|2x-1|dx

Evaluate the following integral: int_(-1)^2|2x+3|dx

Evaluate the following integral: int_(-2)^2|x+1|dx

Evaluate the following integral: int_(-3)^3|x+1|dx

Evaluate the following integrals: int_(-1)^(1)e^(|x|)dx

Evaluate the following integrals: int_(-1)^(1)x^(3)|x|dx

Evaluate each of the following integral: int_(-1)^1x|x|dx

Evaluate the following integral: int_0^1tan^(-1)x\ dx

Evaluate the following integrals: int_(-1)^(1)|x cos pi x|dx

Evaluate the following integral: int_0^1(1-x)/(1+x)dx