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Solve the integral of x*x*x*sin(x): Integration by Parts vs Tabular Integration (The D.I. Method)
Which integration trick is the fastest? Today we evaluate the integral of x^3sin(x) using two very different approaches. The first is the classic Integration by Parts, which requires three rounds of work and plenty of algebra. The second is the D.I. Method—a clever shortcut. By building a simple table of alternating signs, derivatives, and ...
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