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The Integral 1(x+1)(x2+2x+10)dx\int \frac { 1 } { ( x + 1 ) \left( x ^ { 2 } + 2 x + 10 \right) } d x

Question 16

Multiple Choice

The integral 1(x+1) (x2+2x+10) dx\int \frac { 1 } { ( x + 1 ) \left( x ^ { 2 } + 2 x + 10 \right) } d x is


A) ln((x+1) 2x2+2x+10) +C\ln \left( \frac { ( x + 1 ) ^ { 2 } } { x ^ { 2 } + 2 x + 10 } \right) + C
B) ln((x+1) 2x2+2x+10) 18+C- \frac { \ln \left( \frac { ( x + 1 ) ^ { 2 } } { x ^ { 2 } + 2 x + 10 } \right) } { 18 } + C
C) ln((x+1) 2x2+2x+10) 3+C- \frac { \ln \left( \frac { ( x + 1 ) ^ { 2 } } { x ^ { 2 } + 2 x + 10 } \right) } { 3 } + C
D) ln((x+1) 2x2+2x+10) 18+C\frac { \ln \left( \frac { ( x + 1 ) ^ { 2 } } { x ^ { 2 } + 2 x + 10 } \right) } { 18 } + C
E) ln((x+1) 2x2+2x+10) 9+C\frac { \ln \left( \frac { ( x + 1 ) ^ { 2 } } { x ^ { 2 } + 2 x + 10 } \right) } { 9 } + C

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