Question

The curve C with equation y= -x squared +3x +4. The curve intersects the x-axis with limits  x= -1 and x = 4.  Use calculus to find the exact area of R

Answer 1

-x^2 +3x +4=-(x+1)(x-4)...parabola that go down

tu get area, integrate

?????? wanna integrate from x=-1 tu x=+4 ????

integral=-(1/3)x^3 +(3/2)x^2 +4x

at x=4, integral=+18.6666666...

at x=-1, integral=-2.166666666

integral from -1 tu 4=18.666 -(-2.1666)=20.83266