$\int \frac{(1+x) e^x}{\cot \left(x e^x\right)} d x=$
- A$\log \left(\cos \left(x e^x\right)\right)+c$
- B$\log \left(\cot \left(x e^x\right)\right)+c$
- C$\log \left(\sec \left(x e^x\right)\right)+c$
- D$\log \left(\operatorname{cosec}\left(x e^x\right)\right)+c$
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