1.

What is \[\int{{{e}^{ln\,\,x}}\sin x\,\,dx}\] equal to?

A. \[{{e}^{ln\,\,x}}(\sin \,\,x-\cos \,\,x)+c\]
B. \[(\sin \,\,x-x\,\,\cos \,\,x)+c\]
C. \[(x\,\,\sin \,\,x+\cos \,\,x)+c\]
D. \[(\sin \,\,x+x\,\,\cos \,\,x)-c\] Where ?c? is a constant of integration.
Answer» C. \[(x\,\,\sin \,\,x+\cos \,\,x)+c\]


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