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The area bounded by the curve y2=2xy^2 = 2x and the lines y=2,y=4y = 2, y = 4 and y-axis, is

Solution

✅ Correct Option: 4

Integrate with respect to yy since the strip runs from the y-axis to the curve: x=y2/2x = y^2/2. Area =∫24y22dy=16(64−8)=283= \int_2^4 \frac{y^2}{2}dy = \frac{1}{6}(64 - 8) = \frac{28}{3} sq. units.

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