Why is Dependent Arising (Paṭiccasamuppāda) not included in Satipatthana Sutta?

I ask a similar question here , but why is it that dependent origination is not part of the Satipathanasutta ? There are a few references to the origin of the body in section 1 (considering the body) but not section 4 (teachings & techniques)...would it be useful if it were?