Answer:
-
+ 9x + C
Explanation:
1. Seperate equation
= 3∫x^8dx - 7∫x^4dx + 9∫1dx
2. Solve ∫x^4dx; apply power rule: ∫x^ndx = x^n+1/n+1, where n=8
= x^9/9
3. Solve ∫x^4dx; apply power rule where n=4
= x^5/5
4. Solve ∫1dx; apply constant rule: ∫kf(x)dx = k∫f(x)dx
= x
5. Sub in solved integrals
3∫x^8dx - 7∫x^4dx + 9∫1dx
=
-
+ 9x