The region is bounded by the curves and

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region

R

is bounded by the curves

x = y^{2}

and

x = 6 - y

. When computing the area of

R

using a single definite integral, should you integrate with respect to

x

or with respect to

y

? Briefly state which variable minimizes the number of integrals and why.