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7. Integration
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AustraliaVIC
VCE 12 Methods 2023

7.03 Anti-differentiation and trigonometric functions

Lesson
Worksheet
Practice

Interactive practice questions

Find a primitive function for $7\sin x$7sinx.

You may use $C$C as a constant.

Easy
< 1min

Find a primitive function for $-7\cos x$−7cosx.

You may use $C$C as the constant of integration.

Easy
< 1min

Find the integral of $\sin7x$sin7x.

You may use $C$C as the constant of integration.

Easy
< 1min

Integrate $\cos6x$cos6x.

You may use $C$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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