Triangle Integral Formula: Uncovering the Truth Behind b3/6

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Homework Help Overview

The discussion revolves around finding the area of a triangle using integration, specifically questioning the relationship between the area formula and the integral expression b³/6.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to connect the area formula of a triangle with the integral expression, expressing confusion about the expected area calculation. Other participants seek clarification on the problem details and suggest a conceptual understanding of integration as finding the area under a curve.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between the area formula and integration. Some guidance has been offered regarding the correct interpretation of integration in this context, but no consensus has been reached on the original poster's confusion.

Contextual Notes

The original poster's assertion about the area not adding up correctly suggests a potential misunderstanding of the integration process or the formula application. There is an emphasis on needing more details to assist effectively.

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Homework Statement



the formula of a triangle is b2/2, so the integral should be b3/6, right? Well, that can't be right. Because if the base of the triangle is 4, it's area will not add up to 8. What am I doing wrong?
 
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need more details about your problem to help.
 
The problem is find the area of a triangle with base 4 using integration.
 
(b^2)/2 is the area of the triangle - that's the formula you should get after you do the integration, not before. just think of integration as finding the area under the line
 
cool, thanks.
 

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