Area of the region bounded by x2 = 16y, y = 1 and y = 4 and the Y-axis, lying in the first quadrant is _______.

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KollegeApply · Accepted Answer

Area of the region bounded by x2 = 16y, y = 1 and y = 4 and the Y-axis, lying in the first quadrant is `bbunderline((56)/(3)"sq. units")`. Explanation: Required area = int_1^4x*dy = int_1^4 4sqrt(y)*dy = 4[y^($\frac{3}{2}$)/($\frac{3}{2}$)]_1^4 = `(8)/(3)[(4)^($\frac{3}{2}$) - (1)^($\frac{3}{2}$)] = (8)/(3)(8 - 1) = (56)/(3)"sq.units"`.

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