Chapter 4.3, Problem 15C

a.

To determine

The mathematical notation to write preceding sentence.

b.

To determine

To proof: The sum of the two definite integral is equal to the third.

c.

To determine

To proof: The relation ${\displaystyle \underset{a}{\overset{b}{\int }}(f(x)g(x))dx\ne }{\displaystyle \underset{a}{\overset{b}{\int }}f(x)dx.}{\displaystyle \underset{a}{\overset{b}{\int }}g(x)dx}$ .