Chapter 5.6, Problem 60ES

Use Part $2$ of the Fundamental Theorem of Calculus to find the derivatives.

(a) $\frac{d}{dx}{\displaystyle {\int }_0^x\frac{dt}{1+\sqrt{t}}}$

(b) $\frac{d}{dx}{\displaystyle {\int }_1^x\ln tdt}$