That's a method used for numerical integration, i.e. for an approximate calculation of definite integrals.
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The integral of a function f(x) with respect to x, over the interval (a, b) ish/3*[f(x0) + 4*f(x1) + 2*f(x2) + 4*f(x3) + ... + 4*f(xn-1) + f(xn)] where
x0 = a, xn = b and h = (b-a)/n.
The chain rule, in calculus, is a formula. It allows one to compute the derivative of the composition of two or more functions. It was first used by the German mathematician Gottfried Leibniz.
Here's an example calculus question: Find lim (x^2-4)/(x^2+2x-8) using l'hopital's rule. x->2
i love wikipedia!According to wiki: In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other reasons, integration by substitution is an important tool for mathematicians. It is the counterpart to the chain rule of differentiation.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.