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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

3.2.12

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

3.2.13

interpret ∫ {from a to b} f(x)dx as a sum of signed areas

3.2.14

apply the additivity and linearity of definite integrals

3.2.17

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

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