12. Integration
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 $\int_{-1}^6f\left(x\right)dx=3$∫6−1f(x)dx=3.
Medium
5min
Suppose $\int_{-1}^2f\left(x\right)dx=4$∫2−1f(x)dx=4 and $\int_2^8f\left(x\right)dx=8$∫82f(x)dx=8.
Medium
2min
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