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Evaluate ∫x3(x2−3)7dx\int x ^ { 3 } \left( x ^ { 2 } - 3 \right) ^ { 7 } d x

Question 116

Multiple Choice

Evaluate ∫x3(x2−3) 7dx\int x ^ { 3 } \left( x ^ { 2 } - 3 \right) ^ { 7 } d x


A) (x2−3) 8x324+C\frac { \left( x ^ { 2 } - 3 \right) ^ { 8 } x ^ { 3 } } { 24 } + C
B) x216(x2−3) 8−1144(x2−3) 9+C\frac { x ^ { 2 } } { 16 } \left( x ^ { 2 } - 3 \right) ^ { 8 } - \frac { 1 } { 144 } \left( x ^ { 2 } - 3 \right) ^ { 9 } + C
C) x216(x2−3) 8−172(x2−3) 9+C\frac { x ^ { 2 } } { 16 } \left( x ^ { 2 } - 3 \right) ^ { 8 } - \frac { 1 } { 72 } \left( x ^ { 2 } - 3 \right) ^ { 9 } + C
D) x216(x2−3) 8+C\frac { x ^ { 2 } } { 16 } \left( x ^ { 2 } - 3 \right) ^ { 8 } + C

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