In calculus, the sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. It is of particular use for the integration of sums, and is one part of the linearity of integration.
As with many properties of integrals in calculus, the sum rule applies both to definite integrals and indefinite integrals. For indefinite integrals, the sum rule states
Read more about Sum Rule In Integration: Application To Indefinite Integrals, Application To Definite Integrals, The Proof of The Rule
Famous quotes containing the words sum, rule and/or integration:
“They are but beggars that can count their worth,
But my true love is grown to such excess
I cannot sum up sum of half my wealth.”
—William Shakespeare (1564–1616)
“Rules and particular inferences alike are justified by being brought into agreement with each other. A rule is amended if it yields an inference we are unwilling to accept; an inference is rejected if it violates a rule we are unwilling to amend. The process of justification is the delicate one of making mutual adjustments between rules and accepted inferences; and in the agreement achieved lies the only justification needed for either.”
—Nelson Goodman (b. 1906)
“Look back, to slavery, to suffrage, to integration and one thing is clear. Fashions in bigotry come and go. The right thing lasts.”
—Anna Quindlen (b. 1952)