Home
Class 12
MATHS
If for a real number y ,[y] is the great...

If for a real number `y ,[y]` is the greatest integral function less, then or equal to `y ,` then the value of the integral `int_(pi/2)^((3pi)/2)[2sinx]dx` is `-pi` (b) 0 (c) `-pi/2` (d) `pi/2`

A

`-pi`

B

`0`

C

`(-pi)/(2)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :

The value of the integral int_(0)^(pi//2) sin^(6) x dx , is

Write the value of the following integral: int_(-pi/2)^(pi/2)sin^5x\ dx

The value of the integral int_(-pi/2)^(pi//2) sqrt((1+cos2x)/(2))dx is

The value of the integral int_(-pi//2)^(pi//2) sqrt(cosx-cos^(2)x)dx is

Evaluate the following integral: int_(-pi//2)^(pi//2)sin^3x\ dx

The value of the integral int_(-pi//3)^(pi//3) (x sinx)/(cos^(2)x)dx , is

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

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^pi(x^2sinx)/((2x-pi)(1+cos^2x))\ dx

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. Evaluate: int1^oo (e^(x+1)+e^(3-x))^(-1)dx

    Text Solution

    |

  2. int(0)^(3)(|x|+|x-1|+|x-2|)dx equals

    Text Solution

    |

  3. If for a real number y ,[y] is the greatest integral function less, th...

    Text Solution

    |

  4. Let y=(x-[x])^([x]) where [x] is greatest integar function, then int(0...

    Text Solution

    |

  5. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

    Text Solution

    |

  6. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

    Text Solution

    |

  7. Find the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx, agt0.

    Text Solution

    |

  8. Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x i...

    Text Solution

    |

  9. I(1)=int(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I(2)=int(0)^(2pi)cos^(...

    Text Solution

    |

  10. Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...

    Text Solution

    |

  11. int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...

    Text Solution

    |

  12. Let f(x)=(e^(x)+1)/(e^(x)-1) and int(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1)...

    Text Solution

    |

  13. Value of the definite integral int(-1/2)^(1/2)(sin^(- 1)(3x-4x^3)-cos^...

    Text Solution

    |

  14. Let f(x)=int(0)^(x)(sin^(100)t)/(sin^(100)t+cos^(100)t)dt, then f(2pi)...

    Text Solution

    |

  15. int(0)^(pi)(x.sin^(2)x.cosx)dx is equal to

    Text Solution

    |

  16. int0^1000 e^(x-[x])dx

    Text Solution

    |

  17. The value of the definite integral int(19)^37((x)^2+3(sin2pix))dx wher...

    Text Solution

    |

  18. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  19. The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...

    Text Solution

    |

  20. underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |