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Evaluate: ∫ |x| dx if x < 0

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प्रश्न

Evaluate: ∫ |x| dx if x < 0

योग
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उत्तर

|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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अध्याय 5: Integration - MISCELLANEOUS EXERCISE - 5 [पृष्ठ १३८]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q IV. 1) vi) | पृष्ठ १३८

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