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Correct spelling: calculus
Definition of calculus:
 Arteriolith.
 A concretion formed in any portion of the body, usually ( except in the case of gallstones) formed of inorganic matter, often deposited around a minute fragment of organic material, the nucleus.
 A morbid concretion of a hard or stony consistence formed in different organs of the body; a method of calculating. Differential calculus, the method of differencing quantities, or of finding an infinitely small quantity, which, being taken an infinite number of times, shall be equal to a given quantity. The exponential calculus, a method of finding and summing up the differentials of exponential quantities. Integral calculus, a method of integrating or summing up differential quantities. Literal calculus, algebra.
Common misspellings for calculus:
calulus, calcalus, cal, calc, calculas, caclulus, calculis, calcules, calcul, caculus, calcus, caclus, calculuses, calculs, claculus.
Google Ngram Viewer results for calculus:
Examples of usage for calculus:

Equality of conditions and personal merit are inconsistent standards, but if they were harmonious, it would be beyond the power of the State to realize them for want of an effective calculus of either. "Contemporary Socialism" , John Rae.

It would be as intelligible to talk of secreting the British Constitution, the Steam Engine, and the Differential Calculus. "The Old Riddle and the Newest Answer" , John Gerard.
Quotes for calculus:

This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem and in particular to perform integration you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.  Marvin Minsky

Hard to be a physics major at Rice University if you have flunked calculus.  Elizabeth Moon

My first degree came years before my second. I had wanted to be a physicist, but I flunked calculus.  Elizabeth Moon

Gout produces calculus in the kidney... the patient has frequently to entertain the painful speculation as to whether gout or stone be the worst disease. Sometimes the stone, on passing, kills the patient, without waiting for the gout.  Thomas Sydenham

Newton, of course, was the inventor of differential calculus so his place in the tale is quite special.  Kit Williams
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 Correct spelling of calculus.
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