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. $h(x) =\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z$

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

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