Find the exact area under the curve between the indicated values of $x$
$y = \frac{1}{\sqrt{x}};$ between $x = 1$ and $x = 4$
A. 4
B. $\frac{1}{4}$
C. $\frac{1}{2}$
D. 2

Answer

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Final Answer: $2$

Steps

Step 1 ：The area under the curve of a function between two points can be found by integrating the function from the lower limit to the upper limit. In this case, we need to integrate the function $y = \frac{1}{\sqrt{x}}$ from $x = 1$ to $x = 4$ .

Step 2 ：The result of the integration is 2. This is the exact area under the curve between $x = 1$ and $x = 4$ .

Step 3 ：Final Answer: $2$

Find the exact area under the curve between the indicated values of xy=1x; between x=1 and x=4A. 4B. 14C. 12D. 2

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Find the exact area under the curve between the indicated values of $x$
$y = \frac{1}{\sqrt{x}};$ between $x = 1$ and $x = 4$
A. 4
B. $\frac{1}{4}$
C. $\frac{1}{2}$
D. 2