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The area bounded by y = 2 - \left| {\,2 - x\,} \right| and y = \frac{3}{{\left| {\,x\,} \right|}} is

  • Option 1)

    \frac{{4 + 3\log 3}}{2}sq. units          

  • Option 2)

    \frac{{4 - 3\log 3}}{2}sq. units          

  • Option 3)

    \frac{3}{2}\log 3sq. units          

  • Option 4)

    \frac{1}{2} + \log 3sq. units          

 

Answers (1)

best_answer

As we learnt 

Area between two curves -

If we have two functions intersection each other.First find the point of intersection.  Then integrate to find area

\int_{o}^{a}\left [ f\left ( x \right )-9\left ( x \right ) \right ]dx

- wherein

 

 Required\: area = area\: of\: ABDCEA- \int\limits_{\sqrt 3 }^3 {} \left( {\frac{3}{x}} \right)\,\,dx$ 

=\frac{{4 - 3\log 3}}{2}$

 

 


Option 1)

\frac{{4 + 3\log 3}}{2}sq. units          

Option 2)

\frac{{4 - 3\log 3}}{2}$sq. units          

Option 3)

\frac{3}{2}\log 3$sq. units          

Option 4)

\frac{1}{2} + \log 3$sq. units          

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