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

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 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

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. The integral int(pi//4)^(pi//2)(2 "cosec "x )^(17) dx is equal to

    Text Solution

    |

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

    Text Solution

    |

  3. Let f(x) =x -[x] , for every real number x (where, [x] is integral par...

    Text Solution

    |

  4. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals to (a)(g(x))/(g(pi)...

    Text Solution

    |

  5. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

    Text Solution

    |

  6. The value of int(0)^(2pi)[2 sin x]dx, where [.] represent the greatest...

    Text Solution

    |

  7. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  8. Let f: Rveca n dg: RvecR be continuous function. Then the value of the...

    Text Solution

    |

  9. For any integer n,the integral overset(pi)underset(0)int e^(sin^(2)x)c...

    Text Solution

    |

  10. Suppose we define integral using the following formula int(a)^(b)f(x)d...

    Text Solution

    |

  11. Let the definite integral be defined by the formula int(a)^(b)f(x)dx=(...

    Text Solution

    |

  12. Suppose we define integral using the following formula int(a)^(b)f(x)d...

    Text Solution

    |

  13. The value of int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(4))dx is (are)

    Text Solution

    |

  14. If int(n)=int(-pi)^(pi)(sin nx)/((1+pi^(x))sinx) dx, n=0,1,2,………. then

    Text Solution

    |

  15. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  16. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  17. int(1)^(e^(37))(pisin(pilogx))/(x)dx equals to.

    Text Solution

    |

  18. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx

    Text Solution

    |

  19. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dxi s

    Text Solution

    |

  20. The value of overset(3pi//4)underset(pi//4)int (x)/(1+sin x) dx is equ...

    Text Solution

    |