\( \int e^{2 x^{2}+\ln x} d x \) is equal to : \( \mathrm{P} \) (A)...

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\( \int e^{2 x^{2}+\ln x} d x \) is equal to :
\( \mathrm{P} \)
(A) \( \frac{e^{2 x^{2}}}{4}+c \)
(B) \( \frac{e^{2 x^{2}}}{2}+c \)
(C) \( \frac{e^{2 x^{2}}}{4}+\frac{x^{2}}{2} \)
(D) \( \frac{x e^{2 x^{2}}}{4}+c \)
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