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Question

The area of the region bounded by the curves y=x3,y=1x,x=2 is:


A

4loge2

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B

14+loge2

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C

3loge2

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D

153loge2

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Solution

The correct option is B

14+loge2


Explanation for correct option

Calculating the area of the region bounded by the three curves

Given, the curves are y=x3,y=1x,x=2

Visualizing the three curves on a graph paper:

Area of the required region is:
=OMPNO=01x3dx+121xdx=x4401+[logex]12=14+loge2
Hence, the correct answer is Option (B)


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