Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = ex-4 y = 0 X = 4 X = 6

Russell Marsh

Russell Marsh

Answered question

2022-09-07

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your result using the integration capabilities of a graphing utility
y = e x 4 y = 0 x = 4 x = 6

Answer & Explanation

Joel Reese

Joel Reese

Beginner2022-09-08Added 17 answers

Given
y = e x 4 y = 0 x = 4 x = 6
The volume is,
V = π 4 6 ( e x 4 ) 2 d x = π 4 6 e 2 x 8 d x = π [ e 2 x 8 2 ] 4 6 = π [ e 2 ( 6 ) 8 2 e 2 ( 4 ) 8 2 ] = π [ e 4 2 e 0 2 ] = π [ e 4 2 1 2 ]
Now by using graphing utility, we get
π 4 6 ( e ( x 4 ) ) 2 d x = 84.191777951

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?