Let . (i) Identify all points in the interval where the expression changes its…

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

Problem

Let

I=\displaystyle\int_{-3}^{3} |x+1|\,dx

. (i) Identify all points in the interval

[-3,3]

where the expression

|x+1|

changes its algebraic form. (ii) Hence, calculate the exact value of

I