Simple calculus volumes integration
1. The problem statement, all variables and given/known data
Find the volume of this equation, revolved around x axis
2. Relevant equations
y=x^2
y^2=x
3. The attempt at a solution
1) (pi)(r^2)
2) r = x^2
3) (pi)((x^2)^2)
4) (pi)(x^4)
now to integrate
5) (pi)(1/5(x^5))
since x = 1, and 1^5=1, 1/5=1/5
pi/5?
there are two equations here (y=x^2 & y^2=x), are these two somehow combined for the result
the answer is supposed to be 3pi/10
thanks.
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