![]() Moving to this new way of describing functions beyond elementary functions allows integration to beĪccomplished. That this function has no algebraic integral in terms of elementary functions (exponential, log, trig, roots,įinite polynomial, etc.) This leads to the concept of a function polynomial expansion - a way toĪpproximate a function by polynomials (bridging to equality when considering infinite polynomials). To a function, like f(x) = x * tan(x) ? The limitation is not a matter of cleverness - one can prove The second half of Calculus II explores the problem: What to do when you cannot find an antiderivative
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