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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(xx)x(2xlog⁡ex+x)dx\int\left(x^x\right)^x\left(2 x \log _e x+x\right) d x is equal to
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Correct option: B
(xx)x+C\left(x^x\right)^x+C
Option B is correct because the integral simplifies to ∫d(xx2)\int d(x^{x^2}), which evaluates to (xx)x+C(x^x)^x + C.

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