Home · Unit 4 · Topic 2

Topic 2: Applications of integral calculus

Applications of integral calculus

10 hours

• Apply techniques from Unit 4 Topic 1 Sub-topic: Integration techniques to calculate areas between curves determined by functions, with and without technology. 1 interactive
• Determine volumes of solids of revolution about either axis, with and without technology. 1 interactive
• Use Simpson’s rule to approximate an area and the value of a definite integral, with and without technology. 1 interactive
• Understand and use the probability density function, f(x) = λe^(−λx) for x ≥ 0, of the exponential random variable with parameter λ > 0. 1 interactive
• Model and solve problems that involve exponential random variables and associated probabilities and quantiles, with and without technology.