Given and , determine the constant such that…

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

Problem

Given ∫15f(x) dx=7\displaystyle \int_{1}^{5} f(x)\,dx = 7 and ∫59f(x) dx=−4\displaystyle \int_{5}^{9} f(x)\,dx = -4, determine the constant BB such that ∫19[f(x)+B] dx=0\displaystyle \int_{1}^{9} \bigl[f(x)+B\bigr] \,dx = 0.

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