Home › CBSE Class 12 (Commerce) › Mathematics › Application of Integrals › How big is the region closed in by the parabola …
How big is the region closed in by the parabola y = x² - 4 and the x-axis?
A32/3 sq units
B64/3 sq units
C16/3 sq units
D16 sq units
Answer & Solution
Correct answer: A. 32/3 sq units
The curve cuts the axis at x = -2 and 2, and the area is the integral of (4 - x²) over that range, 32/3.
Related questions
Area between the x-axis and the parabola y = 4x - x² isThe smaller part of x² + y² = a² cut off by the line x = a/√2 has areaWhat is the area under the parabola y = x² over the symmetric interval [-2, 2]?The area under y = f(x) from x = a to x = b is obtained by addingElementary geometry formulae are inadequate for finding areas that areThe V-shaped curve y = |x| over [-3, 3] and the x-axis enclose how much area?A circle with centre (2, 0) and equation (x - 2)² + y² = 9 bounds an area ofThe area under y = √(a² - x²) for 0 ≤ x ≤ a is