Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=9+x^5 about the y-axis?

I integrated (y-9)^2/5 from 0 to 10 and multiplied by pi, but I got the wrong answer. Could someone help me please?

Question

Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=9+x^5 about the y-axis? 

I integrated (y-9)^2/5 from 0 to 10 and multiplied by pi, but I got the wrong answer. Could someone help me please?

anonymous · Answer

Your integral setup doesn't work because the disk method only works for part of the region:
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