Home
Class 12
MATHS
The point of extremum of f(x)=int(0)^(...

The point of extremum of
`f(x)=int_(0)^(x)(t-2)^(2)(t-1)dt` is a

A

max at x = 1

B

max at x = 2

C

min at x = 1

D

min at x = 2

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)= int_(0)^(x) ln ((1-t)/(1+t))dt rArr

Then function f(x)=int_(-2)^(x)t(e^(t)-1)(t-2)^(3)(t-3)^(5)dt has a local minima at x=

The value of x for which the function f(x)=int_(0)^(x)(1-t^(2))e^(-t^(2)//2)dt has an extremum is

If f(x) = int_(0)^(x) t.e^(t) dt then f'(-1)=

Find the intervals in which f(x) = int_(0)^(x){e^(t) - 1)(t+1)(t-2)(t+4) . dt increases and decreases. Also find the points of local maxima and local minima of (x).

The slope of the tangent to the curve y=int_(0)^(x)(1)/(1+t^3)dt at the point, where x=1 is