If and are positive integers and

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

m

and

n

are positive integers and

f(x)=\displaystyle\int_1^x(t-a)^{2n}(t-b)^{2m+1}\,dt

, where

a\ne b

, then (1)

x=b

is a point of local minimum. (2)

x=b

is a point of local maximum. (3)

x=a

is a point of local minimum. (4)

x=a

is a point of local maximum.