1.

What is \(\smallint \frac{{x{e^x}dx}}{{{{\left( {x + 1} \right)}^2}}}\) equal to?Where c is the constant of integration.

A. (x + 1)2ex + c
B. (x + 1)ex + c
C. \(\frac{{{e^x}}}{{x + 1}} + c\)
D. \(\frac{{{e^x}}}{{{{\left( {x + 1} \right)}^2}\;}} + c\)
Answer» D. \(\frac{{{e^x}}}{{{{\left( {x + 1} \right)}^2}\;}} + c\)


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