Proving Properties of Definite Integrals (1 Viewer)

[mreditor16]

Hi Guys

So I was teaching a student properties of integrals from scratch. And we came across this:



What would be a nice/easy/neat way of proving and explaining this property? Also, the student wants to understand where it comes from conceptually etc.

Thanks!!

 

[Librah]

Here's one proof from the cambridge text book. The RHS of your integral is just -(F(a)-F(b)) which is essentially the same thing as your LHS.

 

[RealiseNothing]

Easy to see from here how it is true.