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0:25
YouTube
Farhadi Academy
What Is an Integral? A Visual Explanation
What does the integral symbol actually mean? This animation explains the definite integral as the limit of a Riemann sum. By dividing the area under a curve into smaller and smaller rectangles, we can approximate the area more accurately. As the number of rectangles approaches infinity and their widths approach zero, the approximation becomes ...
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1 week ago
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For the first one, the derivative and integral of e^x is just e^x. For the second one, limits and power rule are only the basics of the average calc class. For the third one, as I said, d/dx of e^x = e^x. e^x is the only function that has this property. For the last one, cos(60) and sin(30) both equal 1/2, and also tan(26.565) is also about 1/2. . . . . #calculusmemes #calculus #mathmemes
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A sum and an integral are both ways of accumulating quantities, but they operate in slightly different settings. A sum adds up a finite or countable collection of discrete values, like adding the areas of several rectangles or summing terms in a sequence. For example, when you compute a Riemann sum, you divide an interval into pieces and add up the areas of rectangles under a curve. Integration takes this idea to the limit. Instead of adding a fixed number of rectangles, you let the number of pi
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