Question

find area bounded between y=x, y=x^2+1,x=-1, x=-2

Answer 1

well this is an interesting question.. it looks like



After graphing I would do

1. find the area under the curve y=x^2 + 1 from -2 to -1

\[\int\limits_{-2}^{-1} (x^2 + 1 ) dx\]

2. find the area of the trapezoid under the x-axis, height = 1 a = 2 b = 1

3. add the 2 areas together

hope it helps