Top Minus Bottom, and Which Is Which

You'll learnto build the integrand from a single vertical strip, to get the limits by solving for every root instead of borrowing a number from the prompt, and to decide which curve is on top by substituting rather than by looking.

The height of a vertical strip is top minus bottom, and that one sentence is the whole integrand. Everything hard happens before you integrate: where the region starts and stops, and which curve is on top. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · SOLVE FOR EVERY ROOT, THEN TEST A POINT · v2

The strip height is top minus bottom, and the limits are x-values you solve for

Before you start

What you're looking at

Two curves and the region trapped between them. A thin vertical strip stands in that region; its height is the distance between the curves and its width is dx.

The question

Where does the region begin and end, and which of the two curves is the upper one across that interval?

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