Thread: Problem involving integrations and revolving volume

Hey guys, I'm new to the forum, so... hey everyone haha

Well, I have 1 + ln(x^3 - x^2 - x +3)

now, using this and the X axis and a boundary from [0,1] I need to find

The Area

The volume when revolved about the X axis

and the volume when revolved about the Y axis

Could someone explain this to me? I can't seem to fin whatever I'm doing wrong.

Originally Posted by sarvingartist

Hey guys, I'm new to the forum, so... hey everyone haha

Well, I have 1 + ln(x^3 - x^2 - x +3)

now, using this and the X axis and a boundary from [0,1] I need to find

The Area

The volume when revolved about the X axis

and the volume when revolved about the Y axis

Could someone explain this to me? I can't seem to fin whatever I'm doing wrong.

1 + ln(x^3 - x^2 - x +3) has no elementary integral. Are you certain this is the correct function?