Powers Bryant
02/05/2024 · Senior High School
Homework I, Page 7 of 9 \( x=0 \) to \( x=4 \) around the \( y \)-axis. \( x \) due on October 16,20
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To find the volume of the solid formed by rotating the region around the y-axis, use the cylindrical shells or disk/washer method. The integral for the volume using the cylindrical shells method is \( V = 2\pi \int_{0}^{4} x f(x) \, dx \), and for the disk/washer method, it is \( V = \pi \int_{0}^{4} [f(x)]^2 \, dx \). Replace \( f(x) \) with the actual function to calculate the volume.
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