Determine the interval on which f(x)=square root of x+ 2 is integrable

Question

1) (negative infinite, 2)
2) (-2, infinite)
3) (-infinite, -2) U (-2, infinite)
4) All reals

Answer 1

I assume you mean f(x) = √(x+2)
f is only defined on [-2,∞), since we need x+2 >= 0
Since it also continuous, it is integrable on the same interval.