Finding the area under a curve

Thread starter Luke77
Start date Nov 3, 2012
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Area Curve

AI Thread Summary

To find the area under a shape with a straight line at the bottom, two curves on the sides, and a straight top using calculus, it is recommended to graph the shape. Splitting the shape into sections that can be easily integrated simplifies the process. Each section's area can be calculated individually, and the total area is the sum of these sectorial areas. This approach allows for the integration of complex curves even without a specific formula for them. Utilizing this method will yield an accurate calculation of the area under the curve.

Nov 3, 2012

Luke77

I'm trying to find the area of some shape with a straight line for the bottom, two curves on the sides and a straight top. Let's say I can only use calculus-like math. I can turn it on it's side and put it on a graph, but now there's now formula for the curved lines. What do I do? Do I split it into sections?

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Nov 3, 2012

voko

Yes, split it into sections that are easy to integrate. Total area is the sum of the sectorial areas.

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