Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let f(x) = |x2 - x - 2|
What is \(\rm \int_0^2f(x)dx\) equal to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
f(x) =|x2 – x – 2|.
= {x2 – x – 2; x ∈ (-∞ –1) ∪ (2,∞ ) – (x2 – x – 2); x ∈ [–1, 2]
Let I = - \(\int_0^2(x^2 – x – 2)dx\)
= - \([\frac{x^3}{3}-\frac{x^2}{2} -2x]_2^0\)
= \(- [\frac{8}{3}-\frac{4}{2}+4] +0 =\frac{10}{3}\)
∴ Option (d) is correct
Last updated on May 30, 2025
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