Let be differentiable for with derivative

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f

be differentiable for

x\ge 0

with derivative

f'(x)=k x e^{-x^{2}}

, where

k

is a positive constant. Express the accumulated change in

f

from

x=0

x=a

(

a>0

) in terms of

a

and

k