Considering two methods of integrating the very easy: $\int(x+1)dx$ First just going term by term: $\int(x+1)dx = x^2/2 + x + C$ Or by making a u-subtitution. Let $u = x+1$, then $du = dx$ and the ...
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Simple integral yielding different results with u-substitution – math.stackexchange.com
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