Thursday

January 29, 2015

January 29, 2015

Posted by **Anonymous** on Tuesday, February 14, 2012 at 5:18pm.

y = (x^3/12) + (1/x), from x=1 to x=2 is rotated around the x-axis.

- calculus -
**Reiny**, Tuesday, February 14, 2012 at 7:40pmI visualize an infinite number of "rings"

radius of ring = (x^3)/12 + 1/x

circumference = 2π((x^3)/12 + 1/x)

surface area = 2π∫( (x^3)/12 + 1/x) dx from 1 to 2

= 2π [ (x^4)/48 + lnx] from 1 to 2

= 2π (1/3 + ln 2 - 1/48 - ln1)

= 2π(5/16 + ln 2

= π(5/8 + 2ln 2)

**Answer this Question**

**Related Questions**

calculus - Find the surface area of the solid generated by rotating the area ...

Math - Find the volume generated when the area bounded by the curve y^2 = 16x, ...

University Calculus - Set up (do not evaluate) the integral that gives the ...

Calculus - The area is bounded by y= x^3, x= 2 is rotated around the x-axis. ...

Calculus - This is the questions I have trouble with : Set up (do not evaluate) ...

calculus - The region A is bounded by the curve y=x^2-5x+6 and the line y = -x...

Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

Calculus - find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated...

calculus - The region bounded by the curve y=1÷(1+2x) , the line X=2 , the x-...

Calculus - Let R be the region bounded by y=6sin((pi/2)x), y=6(x-2)^2, y=3x+3 ...