find the area enclosed between the x-axis and the curve, if y=x^2-25 for (-5) is less than or equal to x less than or equal to 5
The range of the curve is entirely negative over that domain, so you just need to find:
A = - ∫{-5,5} x^2 - 25 dx
A = - ∫{-5,5} x^2 - 25 dx