State the relationship that connects with the two integrals over the adjacent…

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

Problem

State the relationship that connects

\displaystyle \int_{a}^{c} f(x)\,dx

with the two integrals over the adjacent subintervals

[a,b]

and

[b,c]

, and briefly describe its geometric meaning in terms of area under the curve.