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What did infinitesimal calculus do?
Infintismal calc is the combination of intergral calc and differential calc
The sum of 3 consecutive intergral numbers is 117. what is the numbers?
The numbers are 38, 39, and 40.
How do you know if a series converges by the intergral test?
When you take the integral using the series as integrand, it converges if the integral worked out to be a number. If it's infinte, the series diverge.
What is the intergral of x?
int(X) = X^n+1/n+1 so X^2/2 + C or, my preference in form 1/2X^2 + C
What is the anti-derivative of ex2?
You want e to the power x2, right? The Wikipedia gives an answer, at http://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions. I won't copy it here, too much trouble; and I don't know how to draw equations here. This answer is quite complicated; it seems you basically use successive approximations to get the integral (antiderivative), instead of a simple expression as you might expect.
