Lake City High School - Jacobson
Dx2 = 2x, D(x2 + 1) = 2x, D(x2 + 2) = 2x, D(x2 -127) = 2x etc. On the other hand, if we integrate (2xdx = x2, the result could as well have been x2 +1 or x2 +2 or x2 - 127 or anything similar. We could then write x2 + C where C is an unknown (positive or negative) integration constant. In physics we can mostly set C = 0, for example as in: ................
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