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Mathematics
∫( cos x-1/sin x +1) ex dx is equal to :
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Q. $ \int\frac{ cos\, x-1}{sin\, x +1} e^{x} dx $ is equal to :
UPSEE
UPSEE 2006
A
$ \frac{e^{x} cos \,x }{1 + sin \,x} +c $
B
$ c - \frac{e^{x} sin\, x }{1 + sin \,x} $
C
$ c - \frac{e^{x} }{1 + sin\, x} $
D
$ c - \frac{e^{x} cos\, x }{1 + sin \,x} $
Solution:
Correct answer is (a) $ \frac{e^{x} cos \,x }{1 + sin \,x} +c $