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adeniyta

Hey, could someone please help me with the following question: Find the area of the bounded region with the given functions y=1/x, y=x, y=1/4x. My book gives the answer ln(2), but I don't know how. When I attempted to solve the problem I made the integral from 0 to 2, based off my graph and integrated the (x-1/x-0.25x)dx? How should I combine the given equations to find the area?

  • 2 years ago
  • 2 years ago

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    |dw:1328490010040:dw| |dw:1328490384526:dw|

    • 2 years ago
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    This is provided the area is that found in the first quadrant.

    • 2 years ago
  3. adeniyta
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    Thank you a ton- your response was super helpful.

    • 2 years ago
  4. adeniyta
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    Quick question- why does the integral have yo be broken up- the area is all above the x-axis?

    • 2 years ago
  5. adeniyta
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    Never mind I see why- the function that is on top changes from [0,2] , so the integral end points has to change to reflect that switch.

    • 2 years ago
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    yep!

    • 2 years ago
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