Integration

NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Regions above and below axis (signed areas)

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

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a

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

b

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

c

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

d

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

Easy

Approx 3 minutes

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