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Area of Bounded Regions · Question 10 of 115

Question 10

MediumOriginal question

Read the two statements and choose the correct option.

I. The area between a curve x=g(y)x = g(y), the yy-axis and y=cy = c, y=dy = d is ∫cd∣g(y)∣ dy\int_c^{d} \lvert g(y) \rvert\,dy.

II. An area found by integration can be negative.

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. I is the horizontal-strip version of the area formula. True.

  2. II is false: an integral can be negative, but an area is its absolute value.

Concept
Area by strips
Typical time
90 s
Your time
—
The rule this testsRegions with lines
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Ten questions from Area of Bounded Regions, at your own pace.

Practise this chapter →

Ten questions from Area of Bounded Regions, at your own pace.