New Zealand
Level 8 - NCEA Level 3

# Regions above and below axis (signed areas)

## Interactive practice questions

Consider the function $y=f\left(x\right)$y=f(x) drawn below.

a

Find the value of $\int_0^2f\left(x\right)dx$20f(x)dx.

b

Find the value of $\int_2^5f\left(x\right)dx$52f(x)dx.

c

Find the value of $\int_5^6f\left(x\right)dx$65f(x)dx.

d

Hence calculate the area bounded by the function and the $x$x-axis.

Easy
Approx 3 minutes

Consider the function $y=f\left(x\right)$y=f(x) drawn below.

Consider the function $y=f\left(x\right)$y=f(x) drawn below.

Consider the function $y=f\left(x\right)$y=f(x) drawn 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