Explain why integrating with respect to rather than typically leads to a simpler…

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

Problem

Explain why integrating with respect to

y

rather than

x

typically leads to a simpler single integral when the region enclosed by

x = y^{3}

and

x = 6 - y

is revolved about the

y

-axis.