Use the disk method to find the volume of the solid obtained

Use the disk method to find the volume of the solid obtained by rotating about the x-axis the region bounded by y=x+3, y=0, x=1 and x=4

consider a disc at a distance x

volume = *(x+3)² dx

integrate from x=1 to x=4

: /3 * (x+3)³ from x=1 to x=4

: /3 * [ 7³ - 4³ ]

: /3 * [ 343 - 64 ]

: /3 [ 279 ]

: 93 cubic untis !!!!