Home
Class 12
MATHS
If int(-1) ^(4) f(x) dx=4and int(2)^(4) ...

If `int_(-1) ^(4) f(x) dx=4and int_(2)^(4) (3-f(x))dx=7,` then
`int_(-1) ^(2) f(x) dx=`

A

1

B

2

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

If int_(-1)^(4)f(x)dx=4 and int_(2)^(4)[3-f(x)]dx=7 , then int_(2)^(-1)f(x)dx=

If int_(-1)^(4) f(x)=4 and int_(2)^(7) (3-f(x))dx=7 , then the value of int_(2)^(-1) f(x)dx , is

Evaluate: int_(-1)^(4)f(x)dx=4 and int_(2)^(4)(3-f(x))dx=7 then find the value of int_(2)^(-1)f(x)dx

If int_(-2)^(5) f(x) dx = 4 and int_(0)^(5) {1+f(x)}dx = 7 , then what is int_(-2)^(0) f(x) dx equal to ?

If int_(-3)^(2)f(x)dx=2 and int_(2)^(5)[5+f(x)]dx=9 , then : int_(5)^(-3)f(x)dx=

If int_(-2)^(0) f (x) dx =k, then int_(-2)^(0) |f(x)|dx is

If f(a-x)=f(x) and int_(0)^(a//2)f(x)dx=p , then : int_(0)^(a)f(x)dx=

int_(0)^(a)f(2a-x)dx=m and int_(0)^(a)f(x)dx=n then int_(0)^(2a)f(x)dx is equal to

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. If I(1)=overset(e^(2))underset(e )int(dx)/(logx)"and "I(2)=overset(2)u...

    Text Solution

    |

  2. Let a, b and c be non - zero real numbers such that int (0)^(3) (3ax...

    Text Solution

    |

  3. If int(-1) ^(4) f(x) dx=4and int(2)^(4) (3-f(x))dx=7, then int(-1) ^...

    Text Solution

    |

  4. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

    Text Solution

    |

  5. if f(x)=|x-1| then int(0)^(2)f(x)dx is

    Text Solution

    |

  6. int- 5^5|x+2|dx

    Text Solution

    |

  7. If f(x)=int(-1)^(x)|t|dt, then for any x ge0,f(x) is equal to

    Text Solution

    |

  8. int(0)^(1)|3x-1|dx=

    Text Solution

    |

  9. int-2^2 |1-x^2|dx= (A) 4 (B) 2 (C) -2 (D) 0

    Text Solution

    |

  10. The value of int(0)^(1)x|x-1/2|dx is

    Text Solution

    |

  11. int(0)^(100pi)|cosx|dx=…………………………..

    Text Solution

    |

  12. int(0)^(pi//2) abs(sinx-cosx) dx=

    Text Solution

    |

  13. The integral int(0)^(pi)sqrt(1+4"sin"^2(x)/(2)-4"sin"(x)/(2)) dx is e...

    Text Solution

    |

  14. If I=int(1/ e)^e|logx|(dx)/(x^2) ,then I equals (A) 2 (B) 2...

    Text Solution

    |

  15. int(0) ^(3) [x] dx= where [x] is greatest integer function

    Text Solution

    |

  16. Let f(x) = x-[x], for every real number x, where [x] is integral part ...

    Text Solution

    |

  17. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  18. The value of int0^9[sqrt(x)+2]dx, where [.] is the greatest integer fu...

    Text Solution

    |

  19. If for all real numbers y ,[y] is the greatest integer less than or eq...

    Text Solution

    |

  20. int(0)^((pi)/2)(x-[cosx])dx= (where [t]= greatest integer less or eq...

    Text Solution

    |