Answer:
21
Step-by-step explanation:
Evaluate the integral from -3 to 0.
Anti derivative of 4 is 4x.
[tex]4(0) - 4( - 3) = 12[/tex]
Evaluate the next integral from 0 to 3.
Anti derivative of 6-x^2. is
[tex]6x - \frac{ {x}^{3} }{3} [/tex]
Now we do,
[tex](6(3) - \frac{3 {}^{3} }{3} ) - 6(0) - \frac{ {0}^{3} }{3} [/tex]
[tex]18 - 9 - 0[/tex]
[tex]9[/tex]
Add up the areas.
9+12=21
