Definite integrals
What means and how to evaluate it, why there is no , how to find an unknown limit, and how some integrals with an infinite limit still give a finite answer.
≈ 40 minAreas under and between curves
Using definite integrals to find areas: under a curve, regions below the axis, between a curve and a line, between two curves, and against the -axis.
≈ 50 minThe trapezium rule
When an integral can't be found exactly, estimate it: replace the curve by straight lines, add up the trapezia, and use the shape of the curve to say whether the answer is too big or too small.
≈ 35 min