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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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If nn is an odd positive integer, then ∫∣xn∣dx\int\left|x^n\right| d x is equal to
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Correct option: C
∣x∣nxn+1+C\frac{|x|^n x}{n+1}+C
Option C (∣x∣nxn+1+C\frac{|x|^n x}{n+1}+C) is correct because it accounts for both positive and negative values of xx when nn is an odd positive integer.

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