The region enclosed by the -axis and the graph of for is revolved about the…
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The region enclosed by the x-axis and the graph of y=x(4−x) for 0≤x≤4 is revolved about the horizontal line y=−3. Write, but do not evaluate, a single definite integral that computes the volume of the resulting solid using the orientation that avoids splitting the integral.