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.

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Applications of Integrals in Finding Area, Area Bounded by a Curve and a Line, Area Enclosed by Parabola Using Integration | PadhAiPro

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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.

Find the area of the region bounded by the curve 4x² + y² = 36 using integration.

Applications of Integrals in Finding Area

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The area bounded by the curve y = √x, Y-axis and between the lines y = 0, y = 3 is :

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Using integration, find the area of the region bounded by the curve y = √(4 – x²), the lines x = –√2 and x = √3 and the x-axis.

Using integration, evaluate the area of the region bounded by the curve y = x², the lines y = 1 and y = 3 and the y-axis.