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integration of mode x

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integration of mode x

Posted by Nayan Mittal 6 years, 10 months ago

CBSE > Class 12 > Mathematics

1 answers

Nitin Gole 6 years, 10 months ago

Originally Answered: Is integral of mod of X possible? We first note that: ddx(|x|)=|x|xddx(|x|)=|x|x where x cannot take the value 0. Hence, I=∫|x|dxI=∫|x|dx =∫|x|xxdx=∫|x|xxdx =∫xd(|x|)=∫xd(|x|) =x|x|−∫|x|dx=x|x|−∫|x|dx =x|x|−I=x|x|−I ⟹2I=x|x|⟹2I=x|x| ⟹I=x|x|2+C

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