Find the area bounded by y = 4 − x² and the x-axis.

Question

G1 Physics · Accepted Answer

The curve cuts the x-axis where 4−x²=0, so x=±2. Area = ∫₋₂²(4−x²)dx. Because the function is even: Area = 2∫₀²(4−x²)dx = 2[4x−x³/3]₀² = 2(8−8/3) = 32/3 square units.