bergausstein
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MarkFL said:We are stating in effect that the integral is equal to the area of a rectangle having base $2\pi$ and height $B$, because the area above and the area below cancel each other out, that is, they add to zero.
bergausstein said:Hello MarkFL! I kind of find it difficult to understand why the area in effect is equal to the area of a rectangle? And also the part where the area above and below cancel each other? Because in your graph it has an offset of B. As I understand it, they will only cancel each other if there was no offset B. meaning the upper part of the graph is above the x-axis and the lower part is below the x-axis and if we add them together we get zero. because they have equal but opposite value. Please, if you have time, elaborate it for me. THANKS!
bergausstein said:Hello again! I tried to make a picture out of what you have explained. Please check if I'am on the right track here.
$B\pi$ the area of rectangle in blue. $C$ is the red/green area
$B(2\pi-\pi)-C$ the area of brown part.