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Question

Question: The area bounded by y = 2 –\|2 – x\| and y = <img src="https://cdn.pureessence.tech/canvas_392.png?t...

The area bounded by y = 2 –|2 – x| and y = is -

A

4+3log32\frac { 4 + 3 \log 3 } { 2 }sq unit

B

43log32\frac { 4 - 3 \log 3 } { 2 }sq unit

C

32\frac { 3 } { 2 }log 3 sq unit

D

12\frac { 1 } { 2 } + log 3 sq unit

Answer

43log32\frac { 4 - 3 \log 3 } { 2 }sq unit

Explanation

Solution

ax =

=

(x2/2)32+(4xx2/2)23(3cosn)33\left( x ^ { 2 } / 2 \right) _ { \sqrt { 3 } } ^ { 2 } + \left( 4 x - x ^ { 2 } / 2 \right) _ { 2 } ^ { 3 } - ( 3 \cos n ) _ { \sqrt { 3 } } ^ { 3 } ̃ 43log3/24 - 3 \log 3 / 2