In one or two sentences

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

In one or two sentences, explain why ∫ab(f(x)+g(x)) dx\displaystyle\int_a^b\bigl(f(x)+g(x)\bigr)\,dx equals ∫abf(x) dx+∫abg(x) dx\displaystyle\int_a^b f(x)\,dx+\int_a^b g(x)\,dx by referring to the interpretation of a definite integral as net signed area.

Related theory

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