examine the area problem, and use sums of the form β_i π(π₯_π) πΏπ₯_π, to estimate the area under the curve π¦=π(π₯)
use the trapezoidal rule for the approximation of the value of a definite integral numerically
interpret the definite integral β« (from a to b) π(π₯) πx as area under the curve π¦=π(π₯) if π(π₯)>0
recognise the definite integral β« (from a to b) π(π₯) πx as a limit of sums of the form β_i π(π₯_π) πΏπ₯_i
