SOLUTION: This is not really a geometry question but it does pertain to areas. what is the area between the two curves y=-4x+3 and y=x^2 +6 I am so stuck on this.I worked out the points of

Algebra ->  Surface-area -> SOLUTION: This is not really a geometry question but it does pertain to areas. what is the area between the two curves y=-4x+3 and y=x^2 +6 I am so stuck on this.I worked out the points of      Log On


   



Question 336582: This is not really a geometry question but it does pertain to areas.
what is the area between the two curves y=-4x+3 and y=x^2 +6
I am so stuck on this.I worked out the points of intersection to be x=-1 and x= -3
could someone please help and show working if possible
thankyou.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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Integrate from x=-3 to x=-1 the difference function,
d%28x%29=-4x%2B3-%28x%5E2%2B6%29
d%28x%29=-x%5E2-4x-3x%2BC
Integrate to get,
INT=-%281%2F3%29x%5E3-2x%5E2-3x evaluated between x=-3 and x=-1.

INT=%28-%281%2F3%29-2%2B3%2BC%29-%28-9-18%2B9%2BC%29
INT=4%2F3