Mathematics (AS)·Integration · NSSCAS 1.9.3
Areas by integration
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By the end of this lesson you will be able to find the exact area under a curve using definite integration. You will learn to spot and handle regions that dip below the x-axis by splitting at the roots and taking the size of each piece. You will also find the area trapped between a curve and a line using the top-minus-bottom method. Every step is worked slowly, with clear sketches, so it all makes sense.
What you'll learn in this lesson
By the end you should be able to (NSSCAS Mathematics (AS) 1.9.3):
- Use definite integration to find the area of a region bounded by a curve and a line, or between two curves — including regions that lie below the x-axis, which must be split at the roots.
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Miss Eve and Mike talk through the whole topic — with the figure and working drawn live.