\[ \int \sqrt{\frac{(2023)^{2 x}}{1-(2023)^{2 x}}}(2023)^{\sin ^{-1}(2023)^{x}} d x= \] (a) \( \...

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\[
\int \sqrt{\frac{(2023)^{2 x}}{1-(2023)^{2 x}}}(2023)^{\sin ^{-1}(2023)^{x}} d x=
\]
(a) \( \left(\log _{2023} e\right)(2023)^{\sin ^{-1}(2023)^{x}}+C \)
(b) \( \left(\log _{2023} e\right)^{2}(2023)^{x+\sin ^{-1}(2023)^{x}}+C \)
(c) \( \left(\log _{2023} e\right)^{2}(2023)^{\sin ^{-1}(2023)^{x}}+C \)
(d) \( \frac{(2023)^{\sin ^{-1}(2023)^{x}}}{\left(\log _{2023} e\right)^{2}}+C \)
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