Home
Class 12
MATHS
int-3^101 ([sin pi x]+e^[[cos 2pi x]])dx...

`int_-3^101 ([sin pi x]+e^[[cos 2pi x]])dx` is equal to ? ( where [x] denotes G.I.F of x)

A

`52/e`

B

`26/e^2`

C

`51/e`

D

`25/e^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

int_(-pi)^( pi)sin x[f(cos x)]dx is equal to

The value of the integral I=int_(0)^( pi/4)[sin x+cos x](cos x-sin x)dx is equal to (where,[.] denotes the greatest integer function)

int_(0)^(pi//4) (sin x +cos x)/(3+sin2x)dx is equal to

int_(0)^(10 pi)(|sin x|+|cos x|)dx is equal to

int_(0)^((pi)/(2))(sin^(3)x)/(sin x+cos x)dx is equal to

int_(0)^( pi)(x sin2x sin((pi)/(2)cos x))/(2x-pi)dx is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. sum(n=1)^21 3/((4n-1)(4n+3)) = ?

    Text Solution

    |

  2. A(-1,1) and B(1,-1) are two points on the curve y^2=2x+2y+1. Tangents ...

    Text Solution

    |

  3. int-3^101 ([sin pi x]+e^[[cos 2pi x]])dx is equal to ? ( where [x] den...

    Text Solution

    |

  4. lim(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(sqrt(1-3/2^n))+1/(sqrt(1-7/2^n...

    Text Solution

    |

  5. Consider the curve y=f(x) passing through the point (1,2) and (8,1) If...

    Text Solution

    |

  6. Let f(x) be a monic quadratic polynomial such that f(1)=1/3 , f(0) =p ...

    Text Solution

    |

  7. Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/...

    Text Solution

    |

  8. From a group of 10 boys B1 , B2 . . . B10 and G1 , G2,. . . ,G5 the nu...

    Text Solution

    |

  9. tan(2tan^-1(1/8)+sec^-1(sqrt5/2)+2 tan^-1(1/5)) is equal to

    Text Solution

    |

  10. Let {3},{6,9,12},{15,18,21,24,27} ,. . . be any sequence, then the sum...

    Text Solution

    |

  11. dy/dx+2ytanx = Sinx , y(pi/3)=0 , maximum value of y(x) is

    Text Solution

    |

  12. Area bounded by the curves y=1 , y=3, y^a=x , (x gt 0) and x=0 is 364/...

    Text Solution

    |

  13. If the line (x+1)/4=(y-2)/3=(z-1)/4 intersects the plane x+y-z=0 at a ...

    Text Solution

    |

  14. The number of 5 digit number's whose product of the digit is 36 is

    Text Solution

    |

  15. If [A](2xx2) and absA=-1 and abs((A+I)(adj A+I))=4 , then abs(Trace (A...

    Text Solution

    |

  16. Let f be a continuous function such that f(3x)-f(x)=x and f(8)=7, then...

    Text Solution

    |

  17. If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1...

    Text Solution

    |

  18. A tangent is drawn to y^2=24x at (alpha,beta) which is perpendicular t...

    Text Solution

    |

  19. Given two GPs 2,2^2,2^3,. . .,2^60 and 4,4^2,. . .,4^n.If G.M of (60+n...

    Text Solution

    |

  20. If p,q,r are positive real number such that (p^2+q^2)x^2-2q(p+r)x+q^2+...

    Text Solution

    |