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IntegrationLinear SubstitutionReplacing the variable x in each of the basic functions, such as cos x, by a linear expression mx + b, we get another function, cos(mx+b). By the Chain Rule for differentiation, we see that, Hence In general, if F'(x) = f(x) then for any m ≠ 0, Examples
ExerciseDo plenty of exercises until you feel confident with linear substitutions. Now try some exercises that involve use of the multiple rule too. |