Name: Zigya - For The Curious Learner
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1. Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

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Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

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3. Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

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Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

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5. Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

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Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

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7. Find the area of the region lying in the first quadrant and bounded by y = 4 x², x = 0, y = 1 and y = 4.

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8. Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

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Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

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10. Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.

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