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iGCSE (2021 Edition)

12.07 Properties of definite integrals

Interactive practice questions

Suppose $\int_4^6f\left(x\right)dx=3$64f(x)dx=3.

a

Find the value of $\int_6^4f\left(x\right)dx$46f(x)dx.

b

Find the value of $\int_4^63f\left(x\right)dx$643f(x)dx.

c

Find the value of $\int_4^6\left(f\left(x\right)+x\right)dx$64(f(x)+x)dx.

Medium
3min

Consider the function $f\left(x\right)$f(x) where $\int_{-1}^6f\left(x\right)dx=3$61f(x)dx=3.

Medium
5min

Suppose $\int_{-1}^2f\left(x\right)dx=4$21f(x)dx=4 and $\int_2^8f\left(x\right)dx=8$82f(x)dx=8.

Medium
2min
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Outcomes

0606C14.10

Evaluate definite integrals and apply integration to the evaluation of plane areas.

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