NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Regions above and below axis (signed areas)

Interactive practice questions

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

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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
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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

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