Recent content by taylor__hasty

So the function is describing what is going on inside the shape that the limits define? In a double integral, doesn't the function describe what is going on at the top of the region?

I am currently taking calculus 3 and I am a little confused about the concept of double and triple integrals. Analytically, it's a breeze. I understand how to set limits, do all calculations, etc. What my question is, when I get an answer, what does the answer "mean"? For example, in this...

I learned that integrals are finding the area under a curve. But I seem to be a little confused. Area under the curve of the derivative of the function? Or area under the curve of the original function? If an integral is the area under a curve, why do we even have to find the anti derivative...

So I'm reading this book called "Origins" by Neil Tyson and in the beginning of the book he was talking about matter and antimatter and said "had this matter over antimatter asymmetry not emerged, the expanding universe would forever be composed of light and nothing he else". Now, I know I'm...