Find the total area between y = x² − 1 and the x-axis from x = −2 to x = 2.

Question

G1 Physics · Accepted Answer

The curve changes sign at x=±1, so geometric area must be split. Area = 2{∫₀¹(1−x²)dx + ∫₁²(x²−1)dx} = 2{2/3 + 4/3} = 4 square units.