Evaluate the Definite Integral of the Algebraic Function $\int _ { 7 } ^ { 10 } \left( s ^ { \frac { 7 } { 4 } } + s ^ { \frac { 4 } { 7 } } \right) d s$

question 55

Multiple Choice

Evaluate the definite integral of the algebraic function.
$\int _ { 7 } ^ { 10 } \left( s ^ { \frac { 7 } { 4 } } + s ^ { \frac { 4 } { 7 } } \right) d s$ Use a graphing utility to verify your results.

• A)\(\frac { 400 ( 10 ) ^ { \frac { 3 } { 4 } } - 196 ( 7 ) ^ { \frac { 3 } { 4 } } + 70 ( 10 ) ^ { \frac { 4 } { 7 } } - 49 ( 7 ) ^ { \frac { 4 } { 7 } } } { 28 }\)
• B)\(\frac { 400 ( 10 ) ^ { \frac { 3 } { 4 } } - 196 ( 7 ) ^ { \frac { 3 } { 4 } } + 70 ( 10 ) ^ { \frac { 4 } { 7 } } - 49 ( 7 ) ^ { \frac { 4 } { 7 } } } { 11 }\)
• C)\(\frac { 400 ( 10 ) ^ { \frac { 3 } { 4 } } + 196 ( 7 ) ^ { \frac { 3 } { 4 } } + 70 ( 10 ) ^ { \frac { 4 } { 7 } } + 49 ( 7 ) ^ { \frac { 4 } { 7 } } } { 11 }\)
• D)\(\frac { - 400 ( 10 ) ^ { \frac { 3 } { 4 } } + 196 ( 7 ) ^ { \frac { 3 } { 4 } } - 70 ( 10 ) ^ { \frac { 4 } { 7 } } + 49 ( 7 ) ^ { \frac { 4 } { 7 } } } { 11 }\)
• E)\(\frac { - 400 ( 10 ) ^ { \frac { 3 } { 4 } } + 196 ( 7 ) ^ { \frac { 3 } { 4 } } - 70 ( 10 ) ^ { \frac { 4 } { 7 } } + 49 ( 7 ) ^ { \frac { 4 } { 7 } } } { 28 }\)

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