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Question

Question: The area between the curve x = 2y – y<sup>2</sup> and y-axis is...

The area between the curve x = 2y – y2 and y-axis is

A

9/4

B

4/3

C

9

D

None of these

Answer

4/3

Explanation

Solution

x = 2y – y2 ̃ x = – y(y – 2)

Required area = 02(2yy2)\int _ { 0 } ^ { 2 } \left( 2 y - y ^ { 2 } \right) dy