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Evaluate: ∫ |x| dx if x < 0 - Mathematics and Statistics

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Question

Evaluate: ∫ |x| dx if x < 0

Sum

Solution

|x| = x; x ≥ 0

= x; x < 0

Let I = ∫ |x| dx, if x < 0

= ∫ - x dx

∴ I = `(- "x"^2)/2` + c

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Chapter 5: Integration - MISCELLANEOUS EXERCISE - 5 [Page 138]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q IV. 1) vi) | Page 138
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