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Question: If f(x) = <img src="https://cdn.pureessence.tech/canvas_413.png?top_left_x=875&top_left_y=809&width=...

If f(x) = and g(x) = (x – 1/2)2, x Î R. Then the area of the portion bounded between g(x) and f(x) in the interval [1/2,3\sqrt { 3 }/2] is

A

3\sqrt { 3 }/4 – 1/3

B

3/4\sqrt { 3 } / 4 + 1/3

C

0

D

3/12\sqrt { 3 } / 12

Answer

3\sqrt { 3 }/4 – 1/3

Explanation

Solution

–g(x)) dx ==34−13\frac { \sqrt { 3 } } { 4 } - \frac { 1 } { 3 }