Without Riemann
(In the style of :
Eminem - Without Me)
from Calculus: The Musical
by Marc Gutman
"G. F. B. Riemann: no gimmicks"
To find the whole area under the curve, under the curve, under the curve
To find the whole area under the curve, under the curve, under the curve
Interval: A to B. f of x, stay with me:
f of x, f of x, f of x, f of x, f of x, f of x, f of x...
I've a curve that's all angles, I'm using rectangles,
To find the area so? I use slices, 1 to n.
Well if you want slices this is what I'll tell ya,
Each little width is B minus A over n-ah,
'Cause width is changing-on-the x its delta -
X, And height: f of x sub i from the middle,
or the right or left cause you're evaluating,
from the i of the slice that you are calculating.
A! The Area's from mul-ti-plication,
of the width an the height gimme some adulation.
I know that you got Sigma Notation,
When your slices add in a big summation!
So the BCE, won't disagree,
And let me decree Archimedes.
He had the same idea in ancient Greece.
But it feels exhausting without Rie-
mann, Hanover kid summing the bits,
And more cunning and witz, than Brechtian skitz.
And get on it, it's all working out, you don't shun it,
I just set up my summation, time to sum it!
And this looks like a job for Rie-
mann, add it up from A to B and
The more slices that you see
Can increase your accuracy.
And this looks like a job for Rie-
mann, INTEGRAL from A to B and
Sliced to infinity,
for your per-fect accuracy.