Homework SourseUse the method of cylindrical shells to find the volume V ge
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 7.
y = x^4 , y = 0 , x = 2
y = x^4 , y = 0 , x = 2
Solution
2 int (7-x)x^4 dx from x=0 to x=2
Antiderivative is
2 (7/5 x^5 - x^6/6 ) from x=0 to x=2
2( 224/5 - 32/3)
1024 /15
