Calculus just for fun

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Can you name the Calculus just for fun?

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derivative of 3x^2
integral of 3x^2
lim as x -> 0 of (sin x)/x
1/x^2 + 1 is the derivative of...
define point of inflection
solve: dy/dx = y
integral of u dv
does 1 + 1/2 +1/3 + 1/4 ... converge

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