25Integration by Parts
B. Let u be that portion of the integrand whose derivative du is a “simpler” function than u itself. Example: ∫x3 4−x2 dx *Since both of these are algebraic functions, the LIATE Rule of Thumb is not helpful. Applying Part (A) of the alternative guidelines above, we see that x 4 −x2 is the “most complicated part ................
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