Is it really enclosed !!!

Calculus Level 4

Find the area enclosed between x-axis and the curves { y = l o g e ( e + x ) x = l o g e ( 1 y ) \begin{cases} y=log_e(e+x) \\ x=log_e(\frac{1}{y}) \end{cases}

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The answer is 2.

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Manit Kapoor
Dec 19, 2014

take a look at the graph

light blue is x = ln (1/y)

dark blue is y=ln(e+x)

now compute the double integral u will get the area is it easy

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