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VCE 11 Methods 2023

10.06 Anti-differentiation

Interactive practice questions

Find the primitive function of $x^5$x5.

Use $C$C as the constant of integration.

Easy
1min

Find the primitive function of $9x^2$9x2.

Use $C$C as the constant of integration.

Easy
< 1min

Find the primitive function of $x^{-6}$x6.

Use $C$C as the constant of integration.

Easy
< 1min

Find the primitive function of $10x+7$10x+7.

Use $C$C as the constant of integration.

Easy
< 1min
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Outcomes

U2.AoS3.13

find by hand the derivative function and an anti-derivative function for a polynomial function of low degree

U2.AoS3.6

anti-differentiation as the inverse process of differentiation and identification of families of curves with the same gradient function, and the use of a boundary condition to determine a specific anti-derivative of a given function.

U2.AoS3.15

find a family of anti-derivative functions for a given polynomial function, and determine a specific antiderivative given a boundary condition

U2.AoS3.10

the rules for finding derivatives and anti-derivatives of simple polynomial functions

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