If A₁ denotes the area of region bounded by y² = 4x, x = 1 and x-axis in the first quadrant and A₂ denotes the area of region bounded by y² = 4x, x = 4, find A₁ : A₂.

Question

TextApplications of Integrals in Finding AreaArea Bounded by a Curve and a LineArea Enclosed by Parabola Using IntegrationCBSE PYQ

Using integration, find the area of the ellipse x²/16 + y²/4 = 1, included between the lines x = – 2 and x = 2.

Using integration, find the area of the region enclosed between the circle x² + y² = 16 and the lines x = – 2 and x = 2.