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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Answer

Final Answer: $\boxed{2}$

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: $\boxed{2}$

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. 4B. $\frac{1}{4}$C. $\frac{1}{2}$D. 2

Answer

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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