The area of the region bounded by x 1 2 x 2 y In x and y 2x is ........

The area of the region bounded by x =1/2, x =2 y= In x and y= 2^x is:

$\frac{3}{2}-\frac{5}{2}In2+\frac{4-\sqrt 2}{In2}$

$\frac{3}{2}+\frac{5}{2}In2+\frac{4-\sqrt{2}}{In2}$

$\frac{3}{2}+\frac{5}{2}In2+\frac{4\sqrt{2}}{In2}$

$\frac{3}{2}-\frac{5}{2}In2-\frac{4-\sqrt{2}}{In2}$

Step1: Identify the Region

Step2: Compute the integral and calculate the area.

$\frac{3}{2}-\frac{5}{2}In2+\frac{4-\sqrt 2}{In2}$

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