How to prove f(a) is integrable?

[ak123456]

Homework Statement

f(a)=a^2 on the interval [0,1],how to prove it by the definition of integral ,and to find $$\int$$f(a) on the interval [0,1]

Homework Equations

The Attempt at a Solution

to prove by step functions ? set ai= (i/n)^(1/2) ??

 

[icantadd]

What is the definition of integrability you are using?

 

[ak123456]

What is the definition of integrability you are using?

Riemann integrability