(See) Let B(x):=-1/2 x^2 for x<0 and B(x):=1/2 x^2 for x ≥q 0. Show that ∫_a^b|x| d
Question: Let \(B(x):=-\frac{1}{2} x^{2}\) for \(x<0\) and \(B(x):=\frac{1}{2} x^{2}\) for \(x \geq 0\). Show that \(\int_{a}^{b}|x| d x=B(b)-B(a)\).
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![[See Solution] Let f:[a, b] \rightarrow R](/images/solutions/MC-solution-library-31083.jpg "[See Solution] Let f:[a, b] \rightarrow R be continuous on [a,")
[See Solution] Let f:[a, b] \rightarrow R be continuous on [a,
(See Steps) If f: R \rightarrow R is continuous and c>0, define
![[Solution] Use the Substitution Theorem 7.3.8 to](/images/solutions/MC-solution-library-31085.jpg "[Solution] Use the Substitution Theorem 7.3.8 to evaluate the")
[Solution] Use the Substitution Theorem 7.3.8 to evaluate the
(See Solution) Use the definition to find the derivative of each of
(Solved) Suppose that f: R \rightarrow R is differentiable at c
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