Home
Class 12
MATHS
If f(a + b - x) = fx, then inta^b x f(x)...

If `f(a + b - x) = fx`, then `int_a^b x f(x) dx` is equal to :

A

`(a+b)/(2) int_0^b f(x) dx`

B

`(b - a)/(2) int_a^b f(x) dx`

C

`(a + b)/2 int_a^b f(a + b - x) dx`

D

`(a + b)/2 int_a^b f(b - x) dx`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL - II)|42 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATION|13 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

Similar Questions

Explore conceptually related problems

int_(a+c)^(b+c) f(x) dx is equal to :

If f(x) = f(a - x) , then int_0^(a) xf(x) dx is equal to :

If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x) and g(x) + g(a - x) = a , then int_0^a f(x). g(x) dx is equal to :

int_0^(pi) x f (sin x) dx is equal to :

If int_0^1 f(x) dx = 1, int_0^1 xf(x) dx = a, int_0^1 x^2 f(x) dx = a^2 , then int_0^1 (a - x)^2 f(x) dx is equal to :

If f(x) = f(pi + e - x) and int_e^(pi) f(x) dx = 2/(e + pi) , then int_e^(pi) xf(x) dx is equal to

MODERN PUBLICATION-DEFINITE INTEGRALS-RECENT COMPETITIVE QUESTIONS
  1. If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :

    Text Solution

    |

  2. The value of the integral int0^(pi//2) (sin^(100) x - cos^(100) x) dx ...

    Text Solution

    |

  3. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  4. If [x] denotes the greatest integer function, then : ""(2)^(4)([x] -...

    Text Solution

    |

  5. int1^(e^(17//2)) (cos(pi log x))/(x) dx =

    Text Solution

    |

  6. int0^1 x(1 - x)^(3//2) dx =

    Text Solution

    |

  7. int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =

    Text Solution

    |

  8. int0^1 (x^4 + 2x^2 + 1)d(x^2 + 1) =

    Text Solution

    |

  9. If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...

    Text Solution

    |

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

    Text Solution

    |

  11. int0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx =

    Text Solution

    |

  12. If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...

    Text Solution

    |

  13. The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...

    Text Solution

    |

  14. The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...

    Text Solution

    |

  15. int0^(pi//2) log(tan x)dx =

    Text Solution

    |

  16. The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the

    Text Solution

    |

  17. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

    Text Solution

    |

  18. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

    Text Solution

    |

  19. int(-1)^(1) (x^(27) cos x + e^x) dx =

    Text Solution

    |

  20. The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...

    Text Solution

    |

  21. If int0^(pi) x f (sin x) dx = A int0^(pi//2) f (sin x) dx, then A is :

    Text Solution

    |