Use the definite integral to find the area between the $x$-axis and the graph of $f(x)$ over the indicated interval.
-$\mathrm{f}(\mathrm{x})=\frac{1}{\sqrt{\mathrm{x}}} ;[1,4]$
A) 4
B) $\frac{1}{2}$
C) 2
D) $\frac{1}{4}$

Question

Quizplus · Accepted Answer

The area between the x-axis and the graph of $f(x) = \frac{1}{\sqrt{x}}$ from $x = 1$ to $x = 4$ is found by evaluating the definite integral $\int_{1}^{4} \frac{1}{\sqrt{x}} \, dx$. The antiderivative of $\frac{1}{\sqrt{x}}$ is $2\sqrt{x}$. Evaluating this from 1 to 4 gives $2\sqrt{4} - 2\sqrt{1} = 4 - 2 = 2$.

Use the Definite Integral to Find the Area Between The x