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Find the Indefinite Integral vln(v+2)dv\int v \ln ( v + 2 ) d v

Question 39

Multiple Choice

Find the indefinite integral. vln(v+2) dv\int v \ln ( v + 2 ) d v


A) (v242) ln(v+2) v24v4+C\left( \frac { v ^ { 2 } - 4 } { 2 } \right) \ln ( v + 2 ) - \frac { v ^ { 2 } - 4 v } { 4 } + C
B) (v242) ln(v+2) +v24v4+C\left( \frac { v ^ { 2 } - 4 } { 2 } \right) \ln ( v + 2 ) + \frac { v ^ { 2 } - 4 v } { 4 } + C
C) (v2+42) ln(v+2) v2+2v4+C\left( \frac { v ^ { 2 } + 4 } { 2 } \right) \ln ( v + 2 ) - \frac { v ^ { 2 } + 2 v } { 4 } + C
D) (v242) ln(v+2) v24v2+C\left( \frac { v ^ { 2 } - 4 } { 2 } \right) \ln ( v + 2 ) - \frac { v ^ { 2 } - 4 v } { 2 } + C
E) (v242) ln(v+2) +v22v4+C\left( \frac { v ^ { 2 } - 4 } { 2 } \right) \ln ( v + 2 ) + \frac { v ^ { 2 } - 2 v } { 4 } + C

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