Topics
7. Integration
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AustraliaVIC
VCE 12 Methods 2023

7.05 Further anti-differentiation

Lesson
Worksheet
Practice

Interactive practice questions

Find $\int\left(x-5\right)^4dx$∫(x−5)4dx, with $C$C as the constant of integration.

Easy
1min

Find $\int\frac{1}{\left(x+6\right)^3}dx$∫1(x+6)3​dx, with $C$C as the constant of integration.

Easy
1min

Find $\int6\left(x+2\right)^2dx$∫6(x+2)2dx, with $C$C as the constant of integration.

Easy
1min

Find $\int\frac{4}{\left(x-5\right)^3}dx$∫4(x−5)3​dx, with $C$C as the constant of integration.

Easy
1min
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Outcomes

U34.AoS3.6

anti-derivatives of polynomial functions and functions of the form f(ax+b) where f is x^n, e^x, sin(x), cos(x) and linear combinations of these

U34.AoS3.19

find anti-derivatives of polynomial functions and power functions, functions of the form f(ax+b) where f is x^n, e^x, sine or cosine, and simple linear combinations of these, using pattern recognition, or by hand

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