For the region bounded by the curves and between and

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For the region bounded by the curves

x = y^{2}

and

x = y + 2

between

y = 0

and

y = 2

, a student must decide whether to integrate with respect to

x

or with respect to

y

. Which orientation avoids having to solve either curve for the other variable? (a) Both orientations require solving for the other variable. (b) Integrate with respect to

x

only. (c) Integrate with respect to

y

only. (d) Neither orientation can be used because the region is not closed.

Related theory

Area Between Curves
Area Applications
Applications of Integration

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