Home
Class 12
MATHS
The value of the integral int0^(2a) (f(x...

The value of the integral `int_0^(2a) (f(x))/(f(x) + f(2a - x))` is :

A

a

B

`-a`

C

1

D

0

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

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2 . Then the value of the integral int_0^1 f(x) g (x) dx is :

If f: R rarr R and g:R rarr R are one-to-one, real valued functions, then the value of the integral int_(-pi)^(pi) [f(x)+f(-x)][g(x)-g(-x)]dx =

If f(x) is integrable on [0,a], then int_0^(a) (f(x))/(f(x)+ f(a-x)) dx =

int (f^(')(x))/(f(x) log [f(x)]) dx =

int (d[f^(2)(x)])/(f(x)+f^2(x)=

Prove that int_(0)^(2a) f(x) dx = 2int_(0)^(a) f(x) dx when f(2a -x) = f(x) and hence evaluate int_(0)^(pi) |cos x| dx .

MODERN PUBLICATION-DEFINITE INTEGRALS-RECENT COMPETITIVE QUESTIONS
  1. The value of the integral int0^(2a) (f(x))/(f(x) + f(2a - x)) is :

    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

    |