Home
Class 12
MATHS
If g(x)=int0^xcos^4tdt , then g(x+pi) eq...

If `g(x)=int_0^xcos^4tdt ,` then `g(x+pi)` equals `g(x)+g(pi)` (b) `g(x)-g(pi)` `g(x)g(pi)` (d) `(g(x))/(g(pi))`

A

a)`g(x)+g(pi)`

B

b)`g(x)-g(pi)`

C

c)`g(x)g(pi)`

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Properties and Application of definite Integrals

    A DAS GUPTA|Exercise EXERCISE|62 Videos

  • Progression, Related Inequalities and Series

    A DAS GUPTA|Exercise Exercise|235 Videos

  • Recap of Facts and Formulae

    A DAS GUPTA|Exercise Exercise|9 Videos

Similar Questions

Explore conceptually related problems

If g(x)=int_0^xcos^4tdt , 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))

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

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

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)

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

If g(x)=int_(0)^(x)cos4tdt then equals: (1)(g(x))/(g(pi))(2)g(x)+g(pi)(3)g(x)-g(pi)(4)g(x)*g(pi)

A DAS GUPTA-Properties and Application of definite Integrals-EXERCISE
  1. An extremum value of y=int0^x(t-1)(t-2)dt is : 5/6 (b) 2/3 (c) 1 ...

    Text Solution

    |

  2. An AC voltage is given by E=E(0) sin(2pit)/(T). Then the mean value of...

    Text Solution

    |

  3. If g(x)=int0^xcos^4tdt , then g(x+pi) equals g(x)+g(pi) (b) g(x)-g(pi...

    Text Solution

    |

  4. The value of int(-pi)^(pi)(2x(1+sinx))/(1+cos^(2)x)dx is

    Text Solution

    |

  5. State whether the statements are true or false.If y=int0^xf(t)dt .Then...

    Text Solution

    |

  6. State whether the statements are true or false.int0^(pi/2)dx/(sqrt(sin...

    Text Solution

    |

  7. If int0^a{f(x)+f(-x)}dx=int-a^aphi(x)dxthen phi(x)=.

    Text Solution

    |

  8. Evaluate: int0^pi (cos x)/(1+sinx)^2 dx

    Text Solution

    |

  9. The value int(-pi/4)^(pi/4)x^2sin^-1xdx=.

    Text Solution

    |

  10. If int0^pi x f(sinx) dx=A int0^(pi/2) f(sinx)dx, then A is (A) pi/2 (B...

    Text Solution

    |

  11. The value of int0^(pi/2)sin2x.log tanxdx is

    Text Solution

    |

  12. If int0^1e^t/(t+1) dt=a, then int(b-1)^b e^(-t)/(t-b-1) dt=

    Text Solution

    |

  13. Evaluateint(-pi/2)^(pi/2)(sin2x)/(1+cos^3x)dx

    Text Solution

    |

  14. If f is a continuous function on the interval [a,b] and there exists ...

    Text Solution

    |

  15. If l(n)=int(1)^(e)(log x)^(n) d x, "then" l(n)+nl(n-1) equal to

    Text Solution

    |

  16. If f(x)=|x-21|+|x-1|then evaluate int-2^2f(x)dx.

    Text Solution

    |

  17. If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)^(4)f(x)dx=2, then : int(0)^(4...

    Text Solution

    |

  18. It is known that f(x) is an odd function and has a period p. Prove tha...

    Text Solution

    |

  19. The value of int(0)^(2)x^([x^(2)+1])(dx), where [x] is the greatest in...

    Text Solution

    |

  20. Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing f...

    Text Solution

    |