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

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

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

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