Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABeasymcq1 pt

What is the area of the region between the graph of $y=\sqrt{x}$ and the $x$ -axis from $x=0$ to $x=9$ ?

A.

27

B.

3

C.

18

D.

54

Explanation

Core Concept

The area is $\int_0^9\sqrt{x}\,dx=[\frac{2}{3}x^{3/2}]_0^9=\frac{2}{3}\cdot 27=18$ .

Correct Answer

C $18$

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