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4.02 Antidifferentiation and exponential functions

Interactive practice questions

State the primitive function of $e^{2x}$e2x.

You may use $C$C as a constant.

Easy
< 1min

State the primitive function of $e^{-5x}$e5x.

You may use $C$C as a constant.

Easy
< 1min

Determine $\int e^{-x}dx$exdx.

You may use $C$C as a constant.

Easy
< 1min

State the primitive function of $e^{0.25x}$e0.25x.

You may use $C$C as a constant.

Easy
< 1min
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Outcomes

3.3.1.4

establish and use the formula ∫ 𝑒^𝑥 𝑑x=𝑒^𝑥+c

3.3.1.8

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

3.3.1.9

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

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