What is the volume of the solid produced by revolving f ( x ) = <msqrt> 1 &#x22

Riley Yates

Riley Yates

Answered question

2022-05-20

What is the volume of the solid produced by revolving f ( x ) = 1 x , x [ 0 , 1 ] around the x-axis?

Answer & Explanation

coquinarq1

coquinarq1

Beginner2022-05-21Added 14 answers

Here, x . i have changed the interval of integration to [0, 1] from the inadmissible [0, 4].
Of course, negative lower limits are admissible.
The volume = π y 2 d x = π ( 1 x ) d x = π [ x x 2 2 ], between the limits [0, 1].
answer = π 2 , cubic units.

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