Answer:
4x² + 4x + 5
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1
= 5x² - 3 - x² + 4x + 8 ← collect like terms
= 4x² + 4x + 5
Given :
Polynomial ,
.
To Find :
Integration of f(x) .
Solution :
We know , integration of
is :

( Here , is C is a constant )
Now ,

Therefore , the integration is
.
Hence , this is the required solution .