Pre-Calculus - Area Under a Curve

1

Using a left hand approximation and rectangles, what is the area under the curve $f(x)=\sqrt{x}$ on the interval ?

2

Using a left hand approximation and rectangles, what is the area under the curve $f(x)=\sqrt{x}$ on the interval ?

3

Let $f\left ( x\right )=x^{3}$

Approximate the area underneath the function on the interval divided into four sub-intervals using the midpoint height of a rectangle for each sub-interval.

4

Let $f\left ( x\right )=x^{3}$

Approximate the area underneath the function on the interval divided into four sub-intervals using the midpoint height of a rectangle for each sub-interval.

5

Approximate the area under the curve given by on the interval using right endpoints.

6

Approximate the area under the curve given by on the interval using right endpoints.

7

Approximate the area under the following curve from to using a midpoint Riemann sum with :

$f(x)=\frac{1}{2}x^2+4$

8

Approximate the area under the following curve from to using a midpoint Riemann sum with :

$f(x)=\frac{1}{2}x^2+4$

9

Let $f\left ( x\right )=x^{2}$

Approximate the area underneath the function on the interval divided into two sub-intervals using the midpoint height of a rectangle for each sub-interval.

10

Let $f\left ( x\right )=x^{2}$

Approximate the area underneath the function on the interval divided into two sub-intervals using the midpoint height of a rectangle for each sub-interval.

Area Under a Curve

Practice Questions