Question
Download Solution PDFLet f : R → R be defined by
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- Definite Integral: If ∫ f(x)dx = g(x) + C, then
= g(b) - g(a). - If a ≤ c ≤ b, then
. .
Calculation:
The given function can be summarized as follows:
| x | x < 0 | 0 ≤ x < 2 | 2 ≤ x |
| f(x) | x + 2 | 2 - x | x - 2 |
Since the given function is a multi-valued function, let us separate the given definite integral into parts where the expressions of the function are different:
=
=
=
=
= 4.5
Last updated on Jun 12, 2025
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