Let f(x) be a differentiable function in...

Let f(x) be a differentiable function in the interval (0, 2) then the value of `int_(0)^(2)f(x)dx`

`f(x)` has an inflection point

`f'(x)=3,AAx in R`

`int_(0)^(2)f(x)dx=-10`

Area bounded by `f(x)` with coordinate axes is `2/3`

Text Solution

Verified by Experts

The correct Answer is:

B, C, D

Topper's Solved these Questions

MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos
MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos
MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 1|1 Videos
MATRICES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
PAIR OF STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a differentiable function such that f(x)=x^2 +int_0^x e^-t f(x-t) dt then int_0^1 f(x) dx=

Let y=f(x) be a differentiable function AA x in R and satisfies: f(x)=x+int_(0)^(1)x^(2)zf(z)dz+int_(0)^(1)xz^(2)f(z)dz.

Let f be a differentiable function such that f'(x) = f(x) + int_(0)^(2) f(x) dx and f(0) = (4-e^(2))/(3) . Find f(x) .

Let f (x) be twice differentiable function such that f'' (x) lt 0 in [0,2]. Then :

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is a. 0 b. -log2 c. 1 d. e

Let f be a real valued function defined on the interval (0,oo) by f(x)=In x+int_(0)^(x)sqrt(1+sint)dt . Then which of the following statement (s) is (are) true?

Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-constant, and differentiable function such that f^(prime)(x)<2f(x))a n df(1/2)=1 . Then the value of int_(1/2)^1f(x)dx lies in the interval (a) (2e-1,2e) (b) (3-1,2e-1) ((e-1)/2,e-1) (d) (0,(e-1)/2)

Let f(x) be a differentiable function and f'(4) = 5, then: underset(xrarr2)lim(f(4)-f(x^2))/(x-2) equals:

Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and f'(0) = 1 let g(x) =[f(2f(x)+2)]^2 , then g'(0) =

Let f:R to R be a differentiable function such that f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt . f(x) increases for

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)

Evaluate (8!)/((8 - 2)!)
Text Solution
|
If underset(xrarra)(lim)f(x)=underset(xrarra)(lim)[f(x)] ([.] denotes ...
Text Solution
|
Let S be the set of real values of parameter lamda for which the equat...
Text Solution
|
Fill in the Blanks f(x)=x^3-3x^2+3x is strictly increasing in ......
Text Solution
|
Let f(x)=log(2x-x^2)+sin((pix)/2)dot Then which of the following is/ar...
Text Solution
|
Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is alw...
Text Solution
|
If the maximum and minimum values of the determinant |(1 + sin^(2)x...
Text Solution
|
Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1"...
Text Solution
|
Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, where |a|lt1,bgt0 then a. maxi...
Text Solution
|
If f(x)=int(x^(m))^(x^(n))(dt)/(lnt),xgt0andngtm, then
Text Solution
|
f(x)=sqrt(x-1)+sqrt(2-x) and g(x)=x^(2)+bx+c are two given functions s...
Text Solution
|
Find the intervals in which f(x)=6x^2-24x+1 increases and decreases
Text Solution
|
Evaluate (10!)/(3! 2! 2!)
Text Solution
|
The function f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge...
Text Solution
|
A function f is defined by f(x)=int(0)^(pi)cos t cos (x-t)dt, 0 lexle2...
Text Solution
|
Evaluate (n!)/(r!(n - r)! , when n = 7 , r = 5
Text Solution
|
Let f(x) be a differentiable function in the interval (0, 2) then the ...
Text Solution
|
Find the value of n , if (2n - 1)/(n - 2) = 3
Text Solution
|
Find the value of n , if ((2n)! (n - 3)!)/((2n - 3)! n!) = 11
Text Solution
|