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4.03 Antidifferentiation and trigonometric functions

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

ACMMM118

establish and use the formulas, ∫sin⁡xdx=−cos⁡x+c and ∫ cosx dx =sinx +c

ACMMM120

determine indefinite integrals of the form ∫ f(ax+b) dx

ACMMM122

determine f(x), given f′(x) and an initial condition f(a)=b

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