Home
Class 12
MATHS
The value of int(-2)^(2)(sin^(2)x)/([(x)...

The value of `int_(-2)^(2)(sin^(2)x)/([(x)/(pi)]+(1)/(2))dx` where [.] denotes greatest integer function , is

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)|125 Videos

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The vlaue of int_(-2)^(2) (sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [*] denotes the greatest integer function, is

int_(-1)^(2)[([x])/(1+x^(2))]dx , where [.] denotes the greatest integer function, is equal to

The value of int_(1)^(2)(x^([x^(2)])+[x^(2)]^(x))dx, where [.] denotes the greatest integer function,is equal to

The value of int_(-2)^(1)[x[1+cos((pi x)/(2))]+1]dx where [.] denotes the greatest integer function,is 1 (b) 1/2 (c) 2 (d) none of these

The value of int_(-g)^(1)[x[1+cos((pi x)/(2))]+1]dx where [.] denotes greatest integer function is

he value of 1=int_(0)^(3)([x]+[x+(1)/(3)]+[x+(2)/(3)])dx where [.] denotes the greatest integer function is equal to

The value of int_(-1)^(1)[|x|](1)/(1+e^(-(1)/(x)))dx where [.] denotes the greatest integer function is

FIITJEE-TIPS-NUERICAL DECIMAL BASED QUATIONS
  1. The value of int(-2)^(2)(sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [.] d...

    Text Solution

    |

  2. If {x} denotes the fractiona part of x, then {(4^(2n))/(15)}, n in N, ...

    Text Solution

    |

  3. Period of sin.(pi)/(4)[x]+sin.(pix)/(2)+tan.(pi)/(3)+sin.(pit)/(4) is

    Text Solution

    |

  4. The period of the function f(t)=sin.(pit)/(3)+sin.(pit)/(4) is

    Text Solution

    |

  5. The value of lim(xrarroo)(x^(3)sin(1//x)-2x^(2))/(1+3x^(2)) is

    Text Solution

    |

  6. Let fp(alpha)=(cos(alpha/p^2)+i sin(alpha/p^2))+((cos)(2alpha)/p^2+isi...

    Text Solution

    |

  7. Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

    Text Solution

    |

  8. The value of int(-1)^(1)g(x)-g-(-x)+[x]dx where [.] is the greatest fu...

    Text Solution

    |

  9. Tet alpha, beta and gamma be the roots of f(x) = x^3 + x^2 - 5x - 1 = ...

    Text Solution

    |

  10. If a, b, c, d, e and f are non negative real numbers such that a +b+...

    Text Solution

    |

  11. Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of...

    Text Solution

    |

  12. If int(sqrt(cotx))/(cosx cos x)dx=a sqrt(cotx)+b, then

    Text Solution

    |

  13. If f(x+1)+f(x+7)=0, x in R , then possible value of t for which inta^(...

    Text Solution

    |

  14. f(x)={{:(3[x]-5(|x|)/(x)",",x ne0),(2",", x=0):}, then int(-3//2)^(2)f...

    Text Solution

    |

  15. If f(x)=x(x-1), 0 le x le 1, and f(x+1)=f(x) AA x in R, then |int(2)^(...

    Text Solution

    |

  16. int2^3(x^2dx)/(2x^2-10 x+25)

    Text Solution

    |

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

    Text Solution

    |

  18. Let f:(0, oo) rarr R and F(x^(2))=int(0)^(x^(2))f(t)dt. " If "F(x^(2))...

    Text Solution

    |

  19. intx^6sin(5x^7)dx=k/5cos(5x^7)+c ,then k=

    Text Solution

    |

  20. If int(sqrt(cotx))/(sinx cos x)dx=A sqrt(cotx)+B, then A is equal to

    Text Solution

    |

  21. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

    Text Solution

    |