Question 11 (1 point)
Let $f(x)$ be a function that is continuous for all $x$ and satisfies:
$f(0) = 4$, $f(1) = 0$, $f(3) = 6$, $f(9) = 2$.
Let $g(x) = \int_2^{\sqrt{x}} f(t) dt$. What is the value of $g'(9)$?
2
$\frac{1}{4}$
1
$\frac{1}{8}$
8
Question 12 (1 point)
Evaluate $\int_0^{\sqrt{\ln(5)}} xe^{x^2} dx$.
2
$\frac{1}{5}$
0
$\frac{1}{2} (e^{\ln(5)} - 1)$
$e^{\sqrt{\ln(5)}} - 1$
