# Integration

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Thread starter 1 year ago
#1
When integrating to find the area of a curve, does the integration find the area of the inside of the curve or the area below the curve?
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1 year ago
#2
The area below the curve bound between two limits.
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1 year ago
#3
It will find the area between the curve and the x-axis. If the curve is below the x-axis then it will find the area above the curve.
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1 year ago
#4
(Original post by purplekitten42)
It will find the area between the curve and the x-axis. If the curve is below the x-axis then it will find the area above the curve.
Yes, and will return a negative value for a negative curve, so one to watch in certain types of questions.

Not clear what OP means by "inside of the curve", but if you want the area between the curve and the y axis, then you need swap the variables, i.e. integrate x as a function of y with respect to y, so y becomes the variable of integration.
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Thread starter 1 year ago
#5
(Original post by purplekitten42)
It will find the area between the curve and the x-axis. if the curve is below the x-axis then it will find the area above the curve.

(Original post by bored_user:))
The area below the curve bound between two limits.
What if the curve had a maximum instead of a minimum?
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1 year ago
#6
(Original post by badoom1234)
What if the curve had a maximum instead of a minimum?
Can you give an example of a question where you're unsure of the meaning? It's a bit difficult to answer without specifics
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1 year ago
#7
(Original post by badoom1234)
What if the curve had a maximum instead of a minimum?
Same thing
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