NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Approximate Areas Under Graphs

## Interactive practice questions

Approximate $\int_0^88xdx$808xdx by using four rectangles of equal width whose heights are the values of the function at the midpoint of each rectangle.

Easy
Approx 4 minutes

Approximate $\int_1^3\left(4-x\right)dx$31(4x)dx by using four rectangles of equal width whose heights are the values of the function at the midpoint of each rectangle.

Approximate $\int_3^{15}\left(4x+6\right)dx$153(4x+6)dx by using four rectangles of equal width whose heights are the values of the function at the:

The function $f\left(x\right)=5x$f(x)=5x is defined on the interval $\left[0,6\right]$[0,6].

### Outcomes

#### M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

#### 91579

Apply integration methods in solving problems