Explain why the solid obtained by revolving the region bounded by • for , • for , •…

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

Problem

Explain why the solid obtained by revolving the region bounded by •

y = x

for

0 \le x \le 1

, •

y = 2 - x

for

1 \le x \le 2

, • the

x

-axis, must be represented as the sum of two definite integrals when computing its volume about the

x

-axis.