How does a double integral work?

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I need help understanding the bounds of integration as well.

In: Mathematics

2 Answers

Anonymous 0 Comments

Imagine a rectangular pool with a bunch of random waves, frozen in time

If you take a line and follow it from some point along the width, then the motion of the waves along that one dimensional line is what you would get from an integral

But that’s only a one dimensional line on the two dimensional plane

If you took that one dimensional line and swept that along the length, you would get the motion of the waves along the plane. That’s the essence of a double integral

Anonymous 0 Comments

A double integral integrates across a two-dimensional region. A single integral integrates across a one-dimensional line.