Home
Class 12
MATHS
"I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n...

`"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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 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:

IfI_n=int_0^pie^x(sin"x")^("n")dx ,t h e n(I_3)/(I_1)"is equal to" 3/5 (b) 1/5 (c) 1 (d) 2/5

If I_n=int_0^1(1-x^5)^n dx ,t h e n(55)/7(I_(10))/(I_(11)) is equal to ___

"I f"I_1=int_(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I_2=int_(-100)^(101)(dx)/(5+2x-2x^2),t h e n(I_1)/(I_2)"i s" 2 (b) 1/2 (c) 1 (d) -1/2

"I f"I_1=int_(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I_2=int_(-100)^(101)(dx)/(5+2x-2x^2),t h e n(I_1)/(I_2)"i s" (a)2 (b) 1/2 (c) 1 (d) -1/2

L e tI_1=int_0^1(e^xdx)/(1+x) a n dI_2=int_0^1(x^2dx)/(e^(x^3)(2-x^3))dot tehn (I_1)/(I_2) is equal to (a)3/e (b) e/3 (c) 3e (d) 1/(3e)

Let f be a positive function. Let I_1=int_(1-k)^k xf([x(1-x)])dx , I_2=int_(1-k)^kf[x(1-x)]dx ,w h e r e2k-1> 0. T h e n(I_1)/(I_2)i s 2 (b) k (c) 1/2 (d) 1

If I_(n)=int_(0)^(pi) e^(x)sin^(n)x " dx then " (I_(3))/(I_(1)) is equal to

Let I_1=int_0^1e^(x^2)dx and I_2=int_0^(1)2x^(2)e^(x^2)dx then the value of I_1 +I_2 is equal to

If f(x)=(e^x)/(1+e^x), I_1=int_(f(-a))^(f(a))xg(x(1-x)dx and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx , then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

    Text Solution

    |

  2. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

    Text Solution

    |

  3. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

    Text Solution

    |

  4. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

    Text Solution

    |

  5. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

    Text Solution

    |

  6. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

    Text Solution

    |

  7. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  8. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

    Text Solution

    |

  9. If in a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  10. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  11. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  12. The function f(x)=(4sin^2x-1)^n(x^2-x+1),n in N , has a local minimum...

    Text Solution

    |

  13. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  14. The number of roots of the equation 2sqrt(2x+1)=2x-1 is equal to

    Text Solution

    |

  15. The functionf(x)=|ax-b|+ax-b|+c|x| forallx in(-00,00) where agt0, bt0,...

    Text Solution

    |

  16. Let f(0) and int(0)^(2) f'(2t)e^(f(2t))dt=5 . Then the value of f(4) i...

    Text Solution

    |

  17. The value of c in Rolle's theorem for the function f(x)=(x(x+1))/(e^(x...

    Text Solution

    |

  18. Maximum value of |z+1+i|, where z in S is (a)sqrt(2) (b) 2 (c)...

    Text Solution

    |

  19. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  20. If ("log"a)/(b-c) = ("log"b)/(c-a) = ("log"c)/(a-b), "then" a^(a)b^(b)...

    Text Solution

    |