Sum Rule

The sum rule for differentiation states

where d/dx denotes a derivative and f^'(x) and g^'(x) are the derivatives of f(x) and g(x), respectively.

Given real-valued functions f(x) and g(x) that are continuous on the closed interval [a,b], sum rule for definite integration states,

Similarly, the sum rule for indefinite integration states,

See also

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Cite this as:

Weisstein, Eric W. "Sum Rule." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SumRule.html

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