Home
Class 12
MATHS
For x in (0 , (5pi)/(2)) define f(x) =...

For `x in (0 , (5pi)/(2))` define
f(x) = `underset(0)overset(x)(int) sqrtt sin t dt`
Then has :

A

local maximum at `pi` and `2pi`

B

local minima at `pi` and `2pi`

C

local maximum at `pi` and local maximum at `2pi`

D

local maximum at `pi` and local minimum at `2pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

For x epsilon(0,(5pi)/2) , definite f(x)=int_(0)^(x)sqrt(t) sin t dt . Then f has

For x in (0,(5pi)/2) , define f(x)""=int_0^xsqrt(t)sint"dt" Then f has : local maximum at pi and 2pi . local minimum at pi and 2pi local minimum at pi and local maximum at 2pi . local maximum at pi and local minimum at 2pi .

Consider the function f : (-oo , oo) to (-oo , oo) defined by f(x) = (x^(2) - ax + 1)/(x^(2) + ax + 1) , 0 lt a lt 2 Let g (x) = underset(0) overset(e^(x))(int) (f'(t))/(1 + t^(2)) dt Which of the following is true ?

Let f:RtoR be given f(x)=(x-1)(x-2)(x-5) ltBrgt Define F(x)=underset(0)overset(x)f(t)dt,x gt 0 the following options is/zer correct?

If f(x)=int_(0)^(x)(:t:)(sin x-sin t)backslash dt then

If f(x) = int_(0)^(x)t sin t dt , then f'(x) is