Triangle Integral Formula: Uncovering the Truth Behind b3/6

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The discussion centers on the confusion regarding the area of a triangle and its calculation through integration. The area formula for a triangle is correctly stated as b^2/2, leading to the integral b^3/6, but this is a misunderstanding of the integration process. When calculating the area of a triangle with a base of 4, the integration should yield the area formula rather than the integral form. The key takeaway is that integration is a method to find the area under a curve, not a direct application of the area formula. Understanding this distinction clarifies the calculation of the triangle's area.
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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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