- #1

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if i integrate d/dx(x^2), should i include the constant of integration? thanks

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- Thread starter adamg
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- #1

- 48

- 0

if i integrate d/dx(x^2), should i include the constant of integration? thanks

- #2

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The short answer is yes, in all cases.

- #3

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so it doesnt matter that you know what the function was before differentiation?

- #4

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- #5

HallsofIvy

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[itex]\int f(x)dx[/itex], the indefinite integral should have an unknown constant added because it means ALL functions whose derivative is f(x) but [itex]\int_a^xf(t)dt[/itex] would not and the value will depend upon the choice of a.

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