Let

f

and

g

be continuous functions. Show that if

|g|

and\

\\\\int_a^(\\\\infty ) |f|dx

, then

\\\\int_a^(\\\\infty ) gdx

exists and

|\\\\int_a^(\\\\infty ) gdx|

.

7. Let f and g be continuous functions. Show that if gf and afdx, then agdx exists and agdxafdx