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Find the area of the region bounded by y = | x − 1 | and y = 1.
Concept: undefined >> undefined
Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2= 32.
Concept: undefined >> undefined
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Find the area of the circle x2 + y2 = 16 which is exterior to the parabola y2 = 6x.
Concept: undefined >> undefined
Find the area of the region enclosed by the parabola x2 = y and the line y = x + 2.
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Make a sketch of the region {(x, y) : 0 ≤ y ≤ x2 + 3; 0 ≤ y ≤ 2x + 3; 0 ≤ x ≤ 3} and find its area using integration.
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Find the area of the region bounded by the curve y = \[\sqrt{1 - x^2}\], line y = x and the positive x-axis.
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Find the area bounded by the lines y = 4x + 5, y = 5 − x and 4y = x + 5.
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Find the area of the region enclosed between the two curves x2 + y2 = 9 and (x − 3)2 + y2 = 9.
Concept: undefined >> undefined
Find the area of the region {(x, y): x2 + y2 ≤ 4, x + y ≥ 2}.
Concept: undefined >> undefined
Using integration, find the area of the following region: \[\left\{ \left( x, y \right) : \frac{x^2}{9} + \frac{y^2}{4} \leq 1 \leq \frac{x}{3} + \frac{y}{2} \right\}\]
Concept: undefined >> undefined
Using integration find the area of the region bounded by the curves \[y = \sqrt{4 - x^2}, x^2 + y^2 - 4x = 0\] and the x-axis.
Concept: undefined >> undefined
Find the area enclosed by the curves y = | x − 1 | and y = −| x − 1 | + 1.
Concept: undefined >> undefined
Find the area enclosed by the curves 3x2 + 5y = 32 and y = | x − 2 |.
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Find the area enclosed by the parabolas y = 4x − x2 and y = x2 − x.
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In what ratio does the x-axis divide the area of the region bounded by the parabolas y = 4x − x2 and y = x2− x?
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Find the area of the figure bounded by the curves y = | x − 1 | and y = 3 −| x |.
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If the area bounded by the parabola \[y^2 = 4ax\] and the line y = mx is \[\frac{a^2}{12}\] sq. units, then using integration, find the value of m.
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If the area enclosed by the parabolas y2 = 16ax and x2 = 16ay, a > 0 is \[\frac{1024}{3}\] square units, find the value of a.
Concept: undefined >> undefined
Find the area of the region between the parabola x = 4y − y2 and the line x = 2y − 3.
Concept: undefined >> undefined
Find the area bounded by the parabola x = 8 + 2y − y2; the y-axis and the lines y = −1 and y = 3.
Concept: undefined >> undefined
