A hint to get started
Rotate an inverse-tangent region about the y-axis
Find the exact volume of the solid formed when the region bounded by , the y-axis and is rotated through about the y-axis.
CJC · Lecture · Example 15
The Teacher adds the π/4 boundary and shading, boxes x=tan y and writes 1+tan²y=sec²y. These distinct notes are integrated into the radius choice, sketch and exact evaluation.
Use radians and preserve the exact inverse-tangent boundary.