- #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