5.3 The Fundamental Theorem of Calculus/15

Use part 1 of the FTC to find the derivative of the function: $y=\int _{0}^{tan(x)}{\sqrt {t+{\sqrt {t}}}}dt$

<math> \begin{align} y=\int_{0}^{tan(x)}\sqrt{t+\sqrt t} dt =\(sec)^2