Question:

Suppose that f(x)=x for all x∈[0,b]. Show that f is integrable and that ∫₀^{b}f(x)dx=((bē)/2)

Hint for the proof:

For each n∈ℕ consider the partition P_{n}={0,(b/n),((2b)/n),...,(((n-1)b)/n),b}.

Induction after this but it can't be at n=0 because we end up dividing by 0?

Need some help on this one. Using Reimann.

Thanks.