Let where is differentiable on

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Let

A(t)=\displaystyle\int_{0}^{t}f(x)\,dx

where

f

is differentiable on

\mathbb R

. Describe how the sign of

f(t)

affects whether

A(t)

is increasing or decreasing at that same value of

t