allery$\int_{-1}^{1} |5x - 3|\,dx$ equals:
A$4/5$
B$34/5$
C$10$
D$13$
Answer & Solution
Correct answer: B. $34/5$
$5x - 3 < 0$ for $x < 3/5$, $> 0$ for $x > 3/5$.
**Split:** $\int_{-1}^{3/5} (3 - 5x)\,dx + \int_{3/5}^1 (5x - 3)\,dx$.
Evaluating each (textbook Ex. 9): the total is $\boxed{34/5}$.
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