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Question

Question: The area bounded by the curves y = log x, y = 2<sup>x</sup>, x = 1/2 and x = 2 is...

The area bounded by the curves y = log x, y = 2x, x = 1/2 and x = 2 is

A

42log252\frac { 4 - \sqrt { 2 } } { \log 2 } - \frac { 5 } { 2 }log 2 +32\frac { 3 } { 2 }

B

4+2log2+52\frac { 4 + \sqrt { 2 } } { \log 2 } + \frac { 5 } { 2 } log 2 –32\frac { 3 } { 2 }

C

22log252\frac { 2 - \sqrt { 2 } } { \log 2 } - \frac { 5 } { 2 }log 2 +32\frac { 3 } { 2 }

D

None of these

Answer

42log252\frac { 4 - \sqrt { 2 } } { \log 2 } - \frac { 5 } { 2 }log 2 +32\frac { 3 } { 2 }

Explanation

Solution

Area – log x) dx =