Home
Class 12
MATHS
\int{-2}^2 abs(1-x) dx=..............

`\int_{-2}^2` `abs(1-x)` dx=...........

A

(a) 2

B

(b) 0

C

(c) 4

D

(d) 5

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

\int_{0}^1 x^2 sqrt(1-x) dx is..........

Evaluate: \int_{-2}^3 abs(x-2) dx

int_- 2^2[x]dx

int_(0)^(pi//2) abs(sinx-cosx) dx=

int_(0)^(2pi)(sinx+ abs(sinx)) dx =

Evaluate : \int_{1}^2 frac{1}{x^2} e^(1/x) dx

int(2xtan^-1x^2)/(1+x^4)dx =

int_(1)^(3)(x-1)(x-2)(x-3)dx=

int_(1)^(2) e^(x)(1/x-1/x^(2))dx=

Prove that \int_{0}^(2a) f(x) dx = \int_{0}^a [f(x) + f(2a-x)] dx

CHETANA PUBLICATION-Definite integration-Exercise
  1. \int{a}^b sqrt ((x-a)(b-x)) dx is equal to........

    Text Solution

    |

  2. \int{0}^((pi)/2) sqrt sin2 theta sin theta dtheta is .........

    Text Solution

    |

  3. \int{-2}^2 abs(1-x) dx=...........

    Text Solution

    |

  4. The value of \int{0}^(oo) frac{x log x}{(1+x^2)^2} dx is ...........

    Text Solution

    |

  5. The value of integral \int{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx...

    Text Solution

    |

  6. \int{0}^1 tan^(-1) frac{x}{sqrt (1-x^2)} dx is.......... A) (pi)/2 +1...

    Text Solution

    |

  7. \int{0}^((pi)/4) frac{sin 2t}{sin^4 t + cos^4 t} dt is..........

    Text Solution

    |

  8. \int{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) ...

    Text Solution

    |

  9. \int{0}^1 x^2 sqrt(1-x) dx is..........

    Text Solution

    |

  10. \int{0}^pi frac{t tan t}{sec t + cos t} dt =..........

    Text Solution

    |

  11. \int{0}^((pi)/2) frac{sin x}{(sin x + cos x)^2} dx =k log(1+sqrt 2), ...

    Text Solution

    |

  12. \int{0}^(pi/2) sin(x-(pi)/4) dx =......... A) 2+sqrt 2 B) 2-sqrt 2 ...

    Text Solution

    |

  13. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  14. If \int{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........

    Text Solution

    |

  15. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

    Text Solution

    |

  16. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  17. Evaluate the following: If \int{0}^k frac{1}{2+8x^2} dx = (pi)/16, fin...

    Text Solution

    |

  18. Evaluate : \int{1}^2 frac{1}{x^2} e^(1/x) dx

    Text Solution

    |

  19. Evaluate: \int{0}^((pi)/4) frac{tan^3 x}{1+ cos 2x} dx

    Text Solution

    |

  20. Evaluate: \int{0}^1frac{x^2 - 2}{x^2+1} dx

    Text Solution

    |