Home
Class 12
MATHS
The value of the integral int(-2012pi)^(...

The value of the integral `int_(-2012pi)^(2012pi) {d/dx(int_0^(x^2) cost^2 dt} dx` is

A

`2012pi`

B

`4024pi`

C

`0`

D

`-2012pi`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Linked Comprehension Type Questions|7 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Competition level Questions|76 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(-2012 pi)^(2012 pi){(d)/(dx)(int_(0)^(x^(2))cos t^(2)dt}dx is

The value of the integral int_0^(pi/2) (sin^100x-cos^100x)dx is (A) 1/100 (B) (100!)/(100)^100 (C) pi/100 (D) 0

The values of the definite integral int_0^((3pi)/4)((1+x)sinx+(1-x)cosx)dx , is (A) 2tan((3pi)/8) (B) 2tan(pi/4) (C) 2tan (pi/8) (D) 0

The value of the integral int_0^oox/((1+x)(1+x^2))dx is (pi^)/2 (b) (pi^)/4 (c) (pi^)/6 (d) pi/3

The value of the integral int_0^(100pi) sqrt(1-cosx)dx is equal to (A) 300sqrt(2) (B) 200sqrt(2) (C) 400sqrt(2) (D) 500sqrt(2)

The value of int_(-1)^(1) (d)/(dx) ("tan"^(1)(1)/(x))dx is

Find the value of int_(-1)^(1)(d)/(dx)(tan^(-1)(1)/(x))dx

AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
  1. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  2. 1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |

  3. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  4. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

    Text Solution

    |

  5. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

    Text Solution

    |

  6. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

    Text Solution

    |

  7. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

    Text Solution

    |

  8. The value of int (0)^(2)f(x) d x , where f(x)={(0",where" x = (n)/...

    Text Solution

    |

  9. Let g(x) be a continuous and differentiable function such that int0^2{...

    Text Solution

    |

  10. Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...

    Text Solution

    |

  11. Let f:(0,oo)rarrR and F(x)=int0^x t.f(t)dt.If F(x^2)=x^4+x^5, then sum...

    Text Solution

    |

  12. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

    Text Solution

    |

  13. The value of int(-10)^(10)[{f(f(x)}xx{f(f((1)/(x))}]dx, where f(x)=(1-...

    Text Solution

    |

  14. The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...

    Text Solution

    |

  15. If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...

    Text Solution

    |

  16. The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is

    Text Solution

    |

  17. If overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2) for al...

    Text Solution

    |

  18. The value of the integral int(-2012pi)^(2012pi) {d/dx(int0^(x^2) cost^...

    Text Solution

    |

  19. The value of int(-2010pi)^(2010pi) {x^2011(1+tan(pi/3-x)(1+tan(x-pi/1...

    Text Solution

    |

  20. Let f(x)=min{|x+2|,|x|,|x-2|} then the value of the integral int-2^2 ...

    Text Solution

    |