Read the two statements and choose the correct option.
I. When a region lies below the $x$ -axis, its integral is negative and the area is the absolute value.
II. If a line $y = g(x)$ cuts a curve $y = f(x)$ and lies below it between the points where they meet, the region cut off has area $\int (f - g)\,dx$ between those points.

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

I: $\int_0^{3} (x - 3)\,dx = -\frac{9}{2}$ , area $\frac{9}{2}$ . True.
II: for example $\int_0^{1} (x - x^{2})\,dx$ for $y = x$ over $y = x^{2}$ . True.

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

Explanation