- #1

student93

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## Homework Statement

The problem is attached in this post.

## Homework Equations

The problem is attached in this post.

## The Attempt at a Solution

Disk method with the radius equal to x/((x^2+3)^5/4)

For Trig Substitution √(x^2+a^2) -> x=atanθ

a=√3 -> a^2=3

x=√(3)tanθ -> dx=√(3)sec^2(θ)

x^2=3tan^2(θ)Volume=π∫((3tan^2(θ)√(3)sec^2(θ))/(3tan^2(θ)+3)^5/4 from 0 to π/6

I can't seem to simplify the integral to the point where I can get the answer etc.

The answer is π/72