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Use Part 1 of the Fundamental Theorem of Calculus to Find

Question 35

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

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