Using integration, find the area bounded by the ellipse 9x² + 25y² = 225, the lines x = –2, x = 2, and the X-axis.

Question

TextArea Under a Curve Using IntegrationCBSE PYQ

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Sketch the graph of y = x|x| and hence find the area bounded by this curve, X-axis and the ordinates x = –2 and x = 2, using integration.

Area of the region bounded by curve y² = 4x and the X-axis between x = 0 and x = 1 is :

Area Bounded by a Curve and a Line

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.

Using integration, find the area of the region bounded by y = mx (m > 0), x = 1, x = 2 and the x-axis.

Using integration, find the area of the region enclosed by the curve y = x², the x-axis and the ordinates x = −2 and x = 1.