Let be the region in the first quadrant bounded by

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

Problem

Let

R

be the region in the first quadrant bounded by

y=x

, the

x

–axis, and the vertical line

x=3

. Write, but do NOT evaluate, the definite integral that gives the volume of the solid obtained when

R

is revolved about the

x

–axis.