For the integration sign I'll use a capital s.

1) Find the volume of revolution when the area between y=(1/x), x=1, x=5, and y=0 is rotated about the x-axis.

V= ((pie) S(1-5) (1/x)^2 dx)

=(pie)(S(1-5))(1/x^2) dx

=(pie)[1/(-3x^3)|(1-5)

=(pie)[(1/((-3)(5)^3) - (1/((-3)(1)^3)]

= -(1126(pie)) / 3

Seems like a wrong answer so if anyone can help thank you.

2) Find the average value of the function off(x) = (x)^3 + (2)^2 - 5x over [-1,5].

Not sure how to start this one