Home
Class 12
MATHS
Ifg(x)= int(0)^(x) cos 4t dt, "then " g ...

`Ifg(x)= int_(0)^(x) cos 4t dt, "then " g (x+pi)` equals

A

`g(x)+g(pi)`

B

`g(x)-g(pi)`

C

`g(x)g(pi)`

D

`(g(x))/(g(pi))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

Ifg(x)= int_(0)^(x) cos ^(4)t dt, "then " g (x+pi) equals

If g(x)=int_(0)^(x)cos^(4)t dt, then g(x+pi) equals

If g(x) = int_(0)^(x) cos dt , then g(x+pi) equals

If g(x)=int_(0)^(x)cos^(4) t dt , then (x+pi) equals

If g(x)=int_(0)^(x)cos^(4) dt , then g(x+pi) equals

STATEMENT-1 : If g(x)=int_(0)^(x)cos^(4)t dt then g(x+pi) is equal to g(x)+g(pi) STATEMENT-2 : If {x} represents the fractional part of x then int_(0)^(100){sqrt(x)} is equal to (2000)/(3) STATEMENT-3 : The value of int_(-(1)/(2))^((1)/(2))(alphalog((1+x)/(1-x))+beta)dx depends on the value of beta .

If g(x)=int_0^x cos4t\ dt ,\ t h e n\ g(x+pi) equals a. g(x)-g(pi) b. \ g(x)dotg(pi) c. (g(x))/(g(pi)) d. g(x)+g(pi)

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. Let a, b and c be non - zero real numbers such that int (0)^(3) (3ax...

    Text Solution

    |

  2. If int(-1) ^(4) f(x) dx=4and int(2)^(4) (3-f(x))dx=7, then int(-1) ^...

    Text Solution

    |

  3. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

    Text Solution

    |

  4. if f(x)=|x-1| then int(0)^(2)f(x)dx is

    Text Solution

    |

  5. int- 5^5|x+2|dx

    Text Solution

    |

  6. If f(x)=int(-1)^(x)|t|dt, then for any x ge0,f(x) is equal to

    Text Solution

    |

  7. int(0)^(1)|3x-1|dx=

    Text Solution

    |

  8. int-2^2 |1-x^2|dx= (A) 4 (B) 2 (C) -2 (D) 0

    Text Solution

    |

  9. The value of int(0)^(1)x|x-1/2|dx is

    Text Solution

    |

  10. int(0)^(100pi)|cosx|dx=…………………………..

    Text Solution

    |

  11. int(0)^(pi//2) abs(sinx-cosx) dx=

    Text Solution

    |

  12. The integral int(0)^(pi)sqrt(1+4"sin"^2(x)/(2)-4"sin"(x)/(2)) dx is e...

    Text Solution

    |

  13. If I=int(1/ e)^e|logx|(dx)/(x^2) ,then I equals (A) 2 (B) 2...

    Text Solution

    |

  14. int(0) ^(3) [x] dx= where [x] is greatest integer function

    Text Solution

    |

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

    Text Solution

    |

  16. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  17. The value of int0^9[sqrt(x)+2]dx, where [.] is the greatest integer fu...

    Text Solution

    |

  18. If for all real numbers y ,[y] is the greatest integer less than or eq...

    Text Solution

    |

  19. int(0)^((pi)/2)(x-[cosx])dx= (where [t]= greatest integer less or eq...

    Text Solution

    |

  20. The value of int(1)^(a)[x]f'(x)dx, where agt1, and [x] denotes the gre...

    Text Solution

    |