Evaluate the integral.
$\int _ { 1 } ^ { 9 } \frac { 1 } { \sqrt { x } } d x$
Select the correct answer.
A) $- 5$
B) 8
C) 4
D) $- 8$

Name: Evaluate the integral. $\int _ { 1 } ^ { 9 } \frac { 1 } { \sqrt { x } } d x$ Select the correct answer. A) $- 5$ B) 8 C) 4 D) $- 8$
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Question

Quizplus · Accepted Answer

We have $\int \frac{1}{\sqrt{x}}\,dx = 2\sqrt{x}+C$ by the power rule of integration. Thus, $\int_{1}^{9} \frac{1}{\sqrt{x}}\,dx = 2\sqrt{9}-2\sqrt{1} = 6-2 = 4$. Therefore, the correct answer is $\boxed{	extbf{(C)}}$.

Evaluate the Integral ∫191xdx\int _ { 1 } ^ { 9 } \frac { 1 } { \sqrt { x } } d x∫19​x​1​dx

Evaluate the Integral $\int _ { 1 } ^ { 9 } \frac { 1 } { \sqrt { x } } d x$