Home
Class 12
MATHS
Function g(x)=int- 3^xsint(1/2-cost)dt w...

Function `g(x)=int_- 3^xsint(1/2-cost)dt` where `0 < x < 2pi,` has

A

maxima at `x=(pi)/(2)`

B

maxima at `x=(3pi)/(2)`

C

maxima at `x=pi`

D

neither maxima nor minima at `x=(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Function g(x)=int_(-3)^(x)sin t((1)/(2)-cos t)dt where 0

For the function f(x)=int_(0)^(x)(sin t)/(t)dt where x>0

For the functions f(x)= int_(0)^(x) (sin t)/t dt where x gt 0 . At x=n pi f(x) attains

Find the range of the function f (x) = int _(0) ^(x) |t-1| dt, where 0 le x le 2

The difference between the greatest and the least values of the function f(x)=int_(0)^(x)(at^(2)+1+cos t)dt,a>0 for x in[2,3] is

Which of the following is/are true for the function f(x)= int _(0) ^(x) ("cost")/(t ) dt (x gt 0) ?

The interval in which the function f(x)=int_(0)^(x) ((t)/(t+2)-1/t)dt will be non- increasing is

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an odd function.

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

Find the derivative with respect to x of the following functions : (a) F(x) = int_(0)^(2x) (sin t)/(t) dt , (b) f(x) = int_(x)^(0) sqrt(1 + t^(4)) dt

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. If x1 and x2 are abscissae of two points on the curve f(x) = x - x^2 i...

    Text Solution

    |

  2. f(x)={ax^2+bx+c, |x| > 1 x+1, |x| <= 1. If f(x) is continuous for all ...

    Text Solution

    |

  3. Function g(x)=int- 3^xsint(1/2-cost)dt where 0 < x < 2pi, has

    Text Solution

    |

  4. int(dx)/((x+3)^(8//7)(x-2)^(6//7)) is equal to

    Text Solution

    |

  5. If int(dx)/(sin^4x+cos^4x)=1/(sqrt(2))tan^(- 1)f(x)+C then

    Text Solution

    |

  6. int(cosalpha)/(a^2+sin^2alpha)d alpha is equal to

    Text Solution

    |

  7. int((x^2+2))/((x^2+1)(x^2+4))dx (for 0 < x < 1)=

    Text Solution

    |

  8. int(dx)/(sqrt(x^2-9)+sqrt(x^2-4))=

    Text Solution

    |

  9. int(e^x[x^3(x+2)+8])/((x+2)^2)dx=

    Text Solution

    |

  10. int(x^3-6x^2+10 x-2)/(x^2-5x+6)dx=

    Text Solution

    |

  11. int(1+cos 4x)/(cotx-tanx)dx=

    Text Solution

    |

  12. If f(x) is a polynomial of degree three such that f(0) = 1, f(1) = 2...

    Text Solution

    |

  13. intc o s e c^(p /3)xsec^(q /3)x dx=(p,q in I^+ and p+q=12)

    Text Solution

    |

  14. If f(x) = min({x}, {-x}) x in R, where {x} denotes the fractional par...

    Text Solution

    |

  15. int(0)^(oo)[2e^(-x)]dx, where [.] deontes greatest integer function, i...

    Text Solution

    |

  16. int0^oo[3/(x^2+1)]dx, where [.] denotes the greatest integer function,...

    Text Solution

    |

  17. The value of int(1//e)^(tanx)(tdt)/(1+t^(2))+int(1+t^(2))^(cotx)(dt)/(...

    Text Solution

    |

  18. If int(pi/2)^x sqrt(3-2sin^2) tdt+ int0^y costdt=0, then (dy/dx)at x =...

    Text Solution

    |

  19. Let f(x)=int3^(25n+1/4) e^({2x+3}) dx, where {x} is fractional part of...

    Text Solution

    |

  20. If f(x)=ae^(2x)+be^(x)+cx satisfies the condition f(0)=ae^(2x)+be^(x)+...

    Text Solution

    |