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A sensor reading is |x + 1| for -2 ≤ x ≤ 1. The total… | StemPy Lab
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A sensor reading is |x + 1| for -2 ≤ x ≤ 1. The total reading is the integral of this function over the interval. A student splits the interval where x + 1 changes sign. What total does she find?
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Functions and Calculus › Integrals
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A sensor reading is
∣
x
+
1
∣
|x + 1|
∣
x
+
1∣
for
−
2
≤
x
≤
1
-2 \le x \le 1
−
2
≤
x
≤
1
. The total reading is the integral of this function over the interval. A student splits the interval where
x
+
1
x + 1
x
+
1
changes sign. What total does she find?
5
2
\dfrac{5}{2}
2
5
−
3
2
-\dfrac{3}{2}
−
2
3
3
2
\dfrac{3}{2}
2
3
2
2
2
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