The value of \( \int e^{x^{2}}(2 x-\cot x)\left(x^{2}-\ln (\sin x)\right)(\operatorname{cosec} x...
The value of \( \int e^{x^{2}}(2 x-\cot x)\left(x^{2}-\ln (\sin x)\right)(\operatorname{cosec} x) d x \) is equal to
(a) \( e^{x^{2}}(2 x-\ln (\sin x)+1)(\operatorname{cosec} x)+c \)
(b) \( e^{x^{2}}(2 x-\ln (\sin x)-1)(\operatorname{cosec} x)+c \)
(c) \( e^{x^{2}}\left(x^{2}-\ln (\sin x)+1\right)(\operatorname{cosec} x)+c \)
(d) \( e^{x^{2}}\left(x^{2}-\ln (\sin x)-1\right)(\operatorname{cosec} x)+c \)
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