Area under curves, area between curves, area bounded by lines and conics.
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Q1 · Applications of Integrals (Class 12) · EASY
Find the area bounded by the curve y = x^2, the x-axis, and the lines x = 1 and x = 3.
Q2 · Applications of Integrals (Class 12) · MEDIUM
Find the area of the region bounded by the parabola y^2 = 4x and the line y = 2x.
Q3 · Applications of Integrals (Class 12) · MEDIUM
Find the area of the region bounded by the ellipse x^2/16 + y^2/9 = 1.
Q4 · Applications of Integrals (Class 12) · MEDIUM
The area of the region bounded by the curve y = x², the x-axis, and the lines x = 1 and x = 3 is