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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
Integrating to Find the Area Between a Curve and a Line
Given a straight line intersecting with a quadratic, the mathematical solution explains how to find the value of the area bounded by the line and the curve. The first step is to find the points of intersection of the line of the curve by equating and using the quadratic formula.
The second part of the question requires students to find the area bounded by the curve and the line. Explanation is given as to what equations should be integrated in order to find the required area. The integration is performed and the value of the required area found.
Graphical solution 1 explains how to use the graphic calculator to find the points of intersection of the line and the curve by drawing each of the graphs and finding the points of intersection.
Graphical solution 2 explains how to use the graphical calculator to find the bounded are between the line and the curve by shading the appropriate region on the graph. The calculator automatically gives the value of the shaded region.
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