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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Understanding +4 | -1
∫  ∣ x ∣  dx\int \,\,\left| {\,x\,} \right|\,\,dx is equal to
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Correct option: D
12  x  ∣ x ∣  +  c\frac{1}{2}\,\,x\,\,\left| {\,x\,} \right|\,\, + \,\,c
Option D (\frac{1}{2}\,x\,\left| {\,x\} \right|\, + \,c\frac{1}{2}\,x\,\left| {\,x\} \right|\, + \,c) is correct because the integral of ∣x∣|x| is 12x∣x∣+c\frac{1}{2}x|x| + c.

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