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Use Part 1 of the Fundamental Theorem of Calculus to Find

Question 20

Multiple Choice

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) =1xz2z4+1dzh ( x ) = \int _ { 1 } ^ { \sqrt { x } } \frac { z ^ { 2 } } { z ^ { 4 } + 1 } d z


A) x+1x2+2\frac { \sqrt { x + 1 } } { x ^ { 2 } + 2 }
B) x2+12\frac { \sqrt { x ^ { 2 } + 1 } } { 2 }
C)
x2(x2+1) \frac { \sqrt { x } } { 2 \left( x ^ { 2 } + 1 \right) }
D) xx2+1\frac { \sqrt { x } } { x ^ { 2 } + 1 }
E) none of these

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