Let be continuous and increasing on with and

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

Problem

Let

f

be continuous and increasing on

[0,5]

with

f(0)=2

and

f(5)=8

. Equal-width subintervals are used to form left and right Riemann sums

L_n

and

R_n

. Determine the smallest positive integer

n

for which

|R_n-L_n|<0.25