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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: integral |x|
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SmileRose (0)

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what is integral |x| ?
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taruntanuj007 (247)

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u know that the graph is not differential at one point so generally we split the integral where its less than zero it is used as -x and the one more than zero its is x only definite integrals are possible here

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xanthus (86)

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|x| can be calculated for the given limits the respective graph is of y=|x| so for x<0 the mod will open with negation and it will be --x^2/2 and for x>0 mod will open with +ve sign so it will be x^2/2
 
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