Home
Class 12
MATHS
lim(xto4)int(4)^(x)((4t-f(t)))/((x-4))dt...

`lim_(xto4)int_(4)^(x)((4t-f(t)))/((x-4))dt` is equal to a)`16-f(4)` b)`4-f(4)`c)`16-f'(4)` d)`4-f'(4)`

A

`16-f(4)`

B

`4-f(4)`

C

`16-f'(4)`

D

`4-f'(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(2x)+(4)/sqrt(2x) then f'(2) is equal to

If f(x)=cosx-int_(0)^(x)(x-t)f(t)dt , then f''(x)+f(x) is equal to a) -cosx b) -sinx c) int_(0)^(x)(x-t)f(t)dt d)0

If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is

If int_(0)^(x^(2))f(t)dt=xcospix , then the value of f(4) is :a)1 b) 1/4 c)-1 d) (-1)/4

If int_(0)^(x)e^(xt).e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)f(t)dt then f(t) is a) e^(-t^(2)//4) b) e^(-t//4) c) 2e^(t^(2)//4) d) e^(t^(2)//2)

Evaluate int(x^(2)+4)/(x^(4)+16)dx

If f is defined and continuous on [3, 5]and f is differentiable at x=4 and f' (4) = 6 , then the value of underset(x to 0)(lim) (f(4 + x) - f(4- x) )/( 4x) is equal to a)0 b)2 c)3 d)4