Answer:
\int\limits^7_1 {f(x)} \, dx =24
\int\limits^13_7 {f(x)} \, dx =24
Explanation:
From Exercise we have f(x)=5-1 , we get f(x)=4.
We calculate integral, if 1≤x<7, we get
\int\limits^7_1 {f(x)} \, dx =\int\limits^7_1 {4} \, dx =4[x]\limits^7_1=4(7-1)=4·6=24
We calculate integral, if 7≤x<13, we get
\int\limits^13_7 {f(x)} \, dx =\int\limits^13_7 {4} \, dx =4[x]\limits^13_7=
=4(13-7)=4·6=24
Therefore, we conclude that the given two integrals are the same.