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Use Part 1 of the Fundamental Theorem of Calculus to Find

Question 83

Multiple Choice

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
h(x) =1x5z2z4+1dzh ( x ) = \int _ { 1 } ^ { \sqrt { x } } \frac { 5 z ^ { 2 } } { z ^ { 4 } + 1 } d z


A) 5xx2+1\frac { 5 \sqrt { x } } { x ^ { 2 } + 1 }
B) x2+15\frac { \sqrt { x ^ { 2 } + 1 } } { 5 }
C)
5x2(x2+1) \frac { 5 \sqrt { x } } { 2 \left( x ^ { 2 } + 1 \right) }
D) x+5x2+5\frac { \sqrt { x + 5 } } { x ^ { 2 } + 5 }
E) none of these

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