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4.07 Further definite integrals

Interactive practice questions

Find the exact value of $\int_{-4}^2e^xdx$24exdx.

Easy
< 1min

Find the exact value of $\int_0^3e^{4x}dx$30e4xdx.

Easy
1min

Find the exact value of $\int_0^2e^{\frac{3}{2}x}dx$20e32xdx.

Easy
2min

Calculate $\int_{-2}^4e^{3x}dx$42e3xdx.

Easy
1min
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Outcomes

3.3.1.10

determine the integral of a function using information about the derivative of the given function (integration by recognition)

3.3.2.3

interpret the definite integral ∫ (from a to b) 𝑓(𝑥) 𝑑x as area under the curve 𝑦=𝑓(𝑥) if 𝑓(𝑥)>0

3.3.2.5

understand the formula ∫(from a to b) 𝑓(𝑥)𝑑𝑥 = 𝐹(𝑏) − 𝐹(𝑎) and use it to calculate definite integrals

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