Evaluate: ∫01|x| dx - Mathematics and Statistics

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Evaluate: $\int_{0}^{1} | x | d x$

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उत्तर

$\int_{0}^{1} | x | d x - \int_{0}^{1} x d x$ ......[|x| = x, x ≥ 0]

= ${[\frac{x^{2}}{2}]}_{0}^{- 1}$

= $\frac{1}{2} (1^{2} - 0)$

= $\frac{1}{2}$

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Methods of Evaluation and Properties of Definite Integral

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अध्याय 2.4: Definite Integration - Very Short Answers

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अध्याय 2.4 Definite Integration
Very Short Answers | Q 5

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Evaluate: ∫01|x| dx - Mathematics and Statistics

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