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Exponential help (1 Viewer)

findsome1

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Hi, I got stuck on this question

Find the exact area enclosed between the curve​
y = e^2x and the

lines
y = 1 and x = 2.

Can anyone tell me how I can go about doing this question, Im a bit confused at the y= and x=, you dont have to show me the working, just how I can go about doing it.

Thanks
 
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deterministic

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Draw a diagram to find out which region you need to integrate. In this question you should integrate along x axis. So it should be clear that:
 

Drongoski

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Hi, I got stuck on this question

Find the exact area enclosed between the curve​
y = e^2x and the

lines
y = 1 and x = 2.

Can anyone tell me how I can go about doing this question, Im a bit confused at the y= and x=, you dont have to show me the working, just how I can go about doing it.

Thanks

Here u are finding the area between the 2 "curves" i) and ii) y = 1 all the way from x = 1 (where y = 1) to x = 2.

If u know how to find area between 2 curves this should be straightforward.
 

OmmU

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What I would do is find the total area between the curve and x axis then subtract the rectangle under like shown here:



I got the area around 24.799m^2 ?
 

hscishard

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Draw a diagram to find out which region you need to integrate. In this question you should integrate along x axis. So it should be clear that:
This is good but this technique is a bit advanced for 2unit. All he's done was translate the graph down by 1 space and integrated it along the x axis
 

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