4.07 Further definite integrals

Interactive practice questions

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

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 $\int_{-2}^4e^{3x}dx$∫4−2e3xdx.

Easy

1min

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

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

recognise and use the additivity and linearity of definite integrals

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