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`
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 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

RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following integral: int2^4f(x)dx ,\ w h e r e\ f(x)={7x+3...

    Text Solution

    |

  2. Evaluate the following integral: int(-4)^4|x+2|dx

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate the following integral: int(-6)^6|x+2|dx

    Text Solution

    |

  5. Evaluate the following integral: int1^2|x-3|dx

    Text Solution

    |

  6. Evaluate the following integral: int1^(2pi)|s in x|dx

    Text Solution

    |

  7. Evaluate the following integral: int2^8|x-5|dx

    Text Solution

    |

  8. Evaluate the following integral: int0^4|x-1|dx

    Text Solution

    |

  9. Evaluate the following integral: int0^4(|x|+|x-2|+|x-4|)dx\

    Text Solution

    |

  10. Evaluate the following integral: int(-2)^2x e^(|x|)dx

    Text Solution

    |

  11. Evaluate the following integral: int(-pi//2)^pisin^(-1)(sin x)dx

    Text Solution

    |

  12. Evaluate the following integral: int(-3)^3|x+1|dx

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate the following integral: int0^3|3x-1|dx

    Text Solution

    |

  15. Evaluate the following integral: int(-2)^2|x+1|dx

    Text Solution

    |

  16. Evaluate the following integral: int(-pi//4)^(pi//4)|s in x|dx

    Text Solution

    |

  17. Evaluate the following integral: int(-pi//2)^(pi//2)|sinx+"cosx|dx

    Text Solution

    |

  18. Evaluate the following integral: int1^4{|x-1|+|x-2|+|x-4|}dx

    Text Solution

    |

  19. Evaluate the following integral: int(-pi//2)^(pi//2)(2sin|x|+cos x)dx

    Text Solution

    |

  20. Evaluate of each of the following integral: int0^(2pi)(dx)/(e^(sinx)+1...

    Text Solution

    |