Use the definition of Riemann integral to prove that the step function is integrable: 𝑓(𝑥) = { 2, 0 ≤ &#
Posted: Mon May 09, 2022 11:18 am
Use the definition of Riemann integral to prove that the step
function is integrable:
𝑓(𝑥) =
{ 2, 0 ≤ 𝑥 ≤ 1
{1, 1 < 𝑥 ≤ 2
Hint: for each 𝑛 ≥ 1, the following partition may be useful: 𝑃𝑛
= {0, 1 , 1 + 1 𝑛 , 2}
function is integrable:
𝑓(𝑥) =
{ 2, 0 ≤ 𝑥 ≤ 1
{1, 1 < 𝑥 ≤ 2
Hint: for each 𝑛 ≥ 1, the following partition may be useful: 𝑃𝑛
= {0, 1 , 1 + 1 𝑛 , 2}