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4.03 Antidifferentiation and trigonometric functions

Interactive practice questions

Find a primitive function for $3\sin x$3sinx.

You may use $c$c as a constant.

Easy
< 1min

Find a primitive function for $3\cos x$3cosx.

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

Easy
< 1min

Find the integral of $\sin5x$sin5x.

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

Easy
< 1min

Integrate $\cos4x$cos4x.

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

Easy
< 1min
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Outcomes

3.2.5

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

3.2.7

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

3.2.9

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

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