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1 of 8 0-day streak

Signed integrals, geometric area and motion

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
area abovemotion nonnegativeNOWMix of allRecommended
Question 1 of 8

No calculator

Identify the sign on each interval before integrating

The region is bounded by the graph, the horizontal axis and the two stated vertical endpoint lines. Find its total geometric area in square units and the signed integral

\[f(x)=2x+5,\qquad -1\le x\le 3\]
Display-only graph of the printed exact f rule from -1 to 3, with vertical endpoint boundaries. The curve stays above the horizontal axis. Use the exact rule and limits, not pixel measurements.-1123024681012xf(x)
(a)1 mark

Select the correct integral setup for total geometric area

(b)1 mark

Find the exact signed integral

(c)1 mark

Find the exact total geometric area in square units