Use a Table of Integrals to Find the Indefinite Integral $\int \frac { x ^ { 2 } } { ( 8 + 2 x ) ^ { 7 } } d x$

question 14

Multiple Choice

Use a table of integrals to find the indefinite integral $\int \frac { x ^ { 2 } } { ( 8 + 2 x ) ^ { 7 } } d x$ .

• A) \(\left[ \frac { - 1 } { 4 ( 8 + 2 x ) ^ { 4 } } + \frac { 16 } { 5 ( 8 + 2 x ) ^ { 5 } } - \frac { 64 } { 6 ( 8 + 2 x ) ^ { 6 } } \right] + C\)
• B) \(\frac { 1 } { 8 } \left[ \frac { - 1 } { 4 ( 8 + 2 x ) ^ { 4 } } + \frac { 16 } { 5 ( 8 + 2 x ) ^ { 5 } } - \frac { 64 } { 6 ( 8 + 2 x ) ^ { 6 } } \right] + C\)
• C) \(\frac { 1 } { 8 } \left[ \frac { - 1 } { 4 ( 8 + 2 x ) ^ { 4 } } + \frac { 16 } { 5 ( 8 + 2 x ) ^ { 5 } } + \frac { 64 } { 6 ( 8 + 2 x ) ^ { 6 } } \right] + C\)
• D) \(\frac { 1 } { 8 } \left[ \frac { - 1 } { 4 ( 8 + 2 x ) ^ { 4 } } - \frac { 16 } { 5 ( 8 + 2 x ) ^ { 5 } } + \frac { 64 } { 6 ( 8 + 2 x ) ^ { 6 } } \right] + C\)
• E) \(\left[ \frac { - 1 } { 4 ( 8 + 2 x ) ^ { 4 } } - \frac { 16 } { 5 ( 8 + 2 x ) ^ { 5 } } + \frac { 64 } { 6 ( 8 + 2 x ) ^ { 6 } } \right] + C\)

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