New Zealand
Level 8 - NCEA Level 3

# Evaluate Areas Using Geometry

## Interactive practice questions

Consider the function drawn below:

Calculate geometrically, the area bounded by the curve and the $x$x-axis over $0\le x\le4$0x4.

Easy
Approx 2 minutes

Consider the function drawn below:

Find the exact value of $\int_0^6\left(6-x\right)dx$60(6x)dx geometrically.

Find the exact value of $\int_0^{12}f\left(x\right)dx$120f(x)dx geometrically, where $y=f\left(x\right)$y=f(x) is graphed below.

### 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