Home
Class 12
MATHS
If A= int (0)^(1) prod(r-4) ^(2014)(r-x)...

If `A= int _(0)^(1) prod_(r-4) ^(2014)(r-x) dx and B =int _(0)^(1) prod _(r =0)^(2013) (r+x) dx, ` then:

A

`A=2B`

B

`2A=B`

C

`A+B=0`

D

`A=B`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|15 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

If A= int _(0)^(1) prod_(r=1) ^(2014)(r-x) dx and B =int _(0)^(1) prod _(r =0)^(2013) (r+x) dx, then:

int_(0)^(1) x dx

"I f"I_1=int_0^1prod_(r=1)^(2016)(r-x)dxa n dI_2=int_0^1prod_(r=0)^(2015)(r+x)dx ,t h e n(I_1)/(I_2) is equal to 2 (b) 1/2 (c) -1 (d) 1

int_0^4 (2x-1) dx

int_(0)^(4) |x-1|dx

If int _(0)^(1) (sum _(r=1) ^(2013)(x)/(x ^(2)+r ^(2)) prod_(r=1)^(2013)(x ^(2) +r ^(2) )) dx =1/2 [(prod_(r=1)^(2013)(1+r ^(2)))-k^(2)] then k=

int_(0)^(1) (x)/(1-x)^(3//4)dx=

If f(n)=prod_(r=1)^(n)cos r,n in N , then

If int _(0)^(1) e ^(-x ^(2)) dx =0, then int _(0)^(1) x ^(2)e ^(-x ^(2)) dx is equal to

If I=int_(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

VK JAISWAL ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If A= int (0)^(1) prod(r-4) ^(2014)(r-x) dx and B =int (0)^(1) prod (r...

    Text Solution

    |

  2. int (x+ ( cos^(-1)3x )^(2))/(sqrt(1-9x ^(2)))dx = (1)/(k (1)) ( sqrt(1...

    Text Solution

    |

  3. If int (0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then fi...

    Text Solution

    |

  4. int( (x^2+1)dx)/x

    Text Solution

    |

  5. If int (x ^(6) +x ^(4)+x^(2)) sqrt(2x ^(4) +3x ^(2)+6) dx = ((ax ^(6) ...

    Text Solution

    |

  6. int( x^2+3)/(x^2+2)dx

    Text Solution

    |

  7. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

    Text Solution

    |

  8. Let int (0)^(1) (4x ^(3) (1+(x ^(4)) ^(2010)))/((1+x^(4))^(2012))dx = ...

    Text Solution

    |

  9. Let int ( 1) ^(sqrt5)(x ^(2x ^(2)+1) +ln "("x ^(2x ^(2x ^(2+1)))")")dx...

    Text Solution

    |

  10. If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...

    Text Solution

    |

  11. Find the value of |a| for which the area of triangle included between ...

    Text Solution

    |

  12. Let I = int (0) ^(pi) x ^(6) (pi-x) ^(8)dx, then (pi ^(15))/((""^(15) ...

    Text Solution

    |

  13. int( x^3)/(x^2-3)dx

    Text Solution

    |

  14. If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...

    Text Solution

    |

  15. If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...

    Text Solution

    |

  16. int( x^3)/(x^2-2)dx

    Text Solution

    |

  17. If M be the maximum value of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...

    Text Solution

    |

  18. Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...

    Text Solution

    |

  19. Find the vlaur of lim (n to oo) (1)/(sqrtn)(1+ (1)/(sqrt2) +(1)/(sqrt3...

    Text Solution

    |

  20. The maximum value of int (-pi/2) ^((3pi)/2) sin x. f (x) dx, subject t...

    Text Solution

    |

  21. Given a function g, continous everywhere such that g (1)=5 and int (0)...

    Text Solution

    |