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Find the area bounded by the ellipse \[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\] and the ordinates x = ae and x = 0, where b2 = a2 (1 − e2) and e < 1.
Concept: undefined >> undefined
Find the area of the minor segment of the circle \[x^2 + y^2 = a^2\] cut off by the line \[x = \frac{a}{2}\]
Concept: undefined >> undefined
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Find the area of the region bounded by the curve \[x = a t^2 , y = 2\text{ at }\]between the ordinates corresponding t = 1 and t = 2.
Concept: undefined >> undefined
Find the area enclosed by the curve x = 3cost, y = 2sin t.
Concept: undefined >> undefined
Find the area of the region in the first quadrant bounded by the parabola y = 4x2 and the lines x = 0, y = 1 and y = 4.
Concept: undefined >> undefined
Find the area of the region bounded by x2 = 16y, y = 1, y = 4 and the y-axis in the first quadrant.
Concept: undefined >> undefined
Find the area of the region bounded by x2 = 4ay and its latusrectum.
Concept: undefined >> undefined
Find the area of the region bounded by x2 + 16y = 0 and its latusrectum.
Concept: undefined >> undefined
Find the area of the region bounded by the curve \[a y^2 = x^3\], the y-axis and the lines y = a and y = 2a.
Concept: undefined >> undefined
Calculate the area of the region bounded by the parabolas y2 = x and x2 = y.
Concept: undefined >> undefined
Find the area of the region common to the parabolas 4y2 = 9x and 3x2 = 16y.
Concept: undefined >> undefined
Find the area of the region bounded by y =\[\sqrt{x}\] and y = x.
Concept: undefined >> undefined
Find the area bounded by the curve y = 4 − x2 and the lines y = 0, y = 3.
Concept: undefined >> undefined
Find the area of the region \[\left\{ \left( x, y \right): \frac{x^2}{a^2} + \frac{y^2}{b^2} \leq 1 \leq \frac{x}{a} + \frac{y}{b} \right\}\]
Concept: undefined >> undefined
Using integration, find the area of the region bounded by the triangle whose vertices are (2, 1), (3, 4) and (5, 2).
Concept: undefined >> undefined
Using integration, find the area of the region bounded by the triangle ABC whose vertices A, B, C are (−1, 1), (0, 5) and (3, 2) respectively.
Concept: undefined >> undefined
Using integration, find the area of the triangular region, the equations of whose sides are y = 2x + 1, y = 3x+ 1 and x = 4.
Concept: undefined >> undefined
Find the area of the region {(x, y) : y2 ≤ 8x, x2 + y2 ≤ 9}.
Concept: undefined >> undefined
Find the area of the region common to the circle x2 + y2 = 16 and the parabola y2 = 6x.
Concept: undefined >> undefined
Find the area of the region between the circles x2 + y2 = 4 and (x − 2)2 + y2 = 4.
Concept: undefined >> undefined
