JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The region bounded by the curve

x=\frac{1}{2}, x=2, y=\log x

and

y=2^x

, then the area of the region, is

View answer and explanation

Correct option: B

\frac{(4+\sqrt{2})}{\log 2}-\frac{5}{2} \log 2+\frac{17}{2}

sq unit

Option B (

\frac{{(4+\sqrt{{2}})}}{\log 2}-\frac{{5}}{{2}} \log 2+\frac{{17}}{{2}}

sq unit) is correct because it represents the area calculated by integrating the difference between the two functions over the given interval.

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