Find the area of the region that lies under the given curve. Round the answer to three decimal places.
$$y = \sqrt { 5 x + 2 } , 0 \leq x \leq 1$$
Select the correct answer.
A) $2.092$
B) $2.242$
C) $2.592$
D) $2.392$
E) $2.142$

Question

Quizplus · Accepted Answer

To find the area under the curve $y = \sqrt{5x + 2}$ from $x = 0$ to $x = 1$, we integrate the function: $\int_{0}^{1} \sqrt{5x + 2} \, dx$. Solving this integral and rounding to three decimal places gives approximately 2.092.

Find the Area of the Region That Lies Under the Given