1.

\[\int{{{e}^{x}}(1-\cot x+{{\cot }^{2}}x)\,\,dx}\] equals [MP PET 2002]

A.                 \[{{e}^{x}}\cot x+c\]
B.                 \[{{e}^{x}}\text{cosec }x+c\]
C.                 \[-{{e}^{x}}\cot x+c\]
D.   \[-{{e}^{x}}\text{cosec}\,x+c\]
Answer» D.   \[-{{e}^{x}}\text{cosec}\,x+c\]


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