Question

How do you find the boundaries on a question like this? I know they are 2 and -1, but how?

Answer 1

For a)
\[
\int_{-1}^2 \left((x+1)-(x^2-1) \right)^2 \, dx
\]

Answer 2

but how do you know it's 2 and -1?

Answer 3

at which x does x+1 and x^2-1 intersect ?

Answer 4

got it! thanks!