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Question

The area enclosed between the curves y=log(x+e);x=loge(1y) and x-axis is

A
3
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B
1
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C
-2
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D
0.222
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Solution

The correct option is D 0.222
ey=lny+e
ey+lny=e
0.6420log(x+e)dx+0.642exdx
[xlog(x+e)x]0.6420[ex]0.642
0.642log(0.642+e)0.642+e0.642
=0.222

999151_1054812_ans_5a31fb6b6673446ebb1232fd3e123fa2.png

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