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0 votes
1.8k views
in Definite Integrals by (29.1k points)
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The area bounded by the curve y = loge x and x-axis and the straight line x = e is

A. e sq. units

B. 1 sq. units

C. \(1-\frac{1}{e}\) sq. units

D. \(1+\frac{1}{e}\) sq. units

1 Answer

+1 vote
by (28.7k points)
selected by
 
Best answer

Correct answer is B.

We need to find the area of the blue shaded region.

At, x = 1, y = loge (1) = 0

And, at x = e, y = loge (e) = 1

These are our bounds.

So, this will be computed as –

Using Integration by parts,

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