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Integrate the Function (4t2)3/2t6dt\int \frac { \left( 4 - t ^ { 2 } \right) ^ { 3 / 2 } } { t ^ { 6 } } d t

Question 252

Multiple Choice

Integrate the function.
- (4t2) 3/2t6dt\int \frac { \left( 4 - t ^ { 2 } \right) ^ { 3 / 2 } } { t ^ { 6 } } d t


A) (4t2) 5/220t7 - \frac { \left( 4 - t ^ { 2 } \right) ^ { 5 / 2 } } { 20 t ^ { 7 } }
B) 15(4t2t) 5+C- \frac { 1 } { 5 } \left( \frac { \sqrt { 4 - t ^ { 2 } } } { t } \right) ^ { 5 } + C
C) 120(4t2t) 5+sec1(t2) +C - \frac { 1 } { 20 } \left( \frac { \sqrt { 4 - t ^ { 2 } } } { t } \right) ^ { 5 } + \sec ^ { - 1 } \left( \frac { t } { 2 } \right) + C
D) 120(4t2t) 5+C- \frac { 1 } { 20 } \left( \frac { \sqrt { 4 - t ^ { 2 } } } { t } \right) ^ { 5 } + C

Correct Answer:

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