Solution: Find the volume if the area bounded by the curve y = x^3 + 1

Find the volume if the area bounded by the curve y = x^3 + 1, the x-axis and the limits of x = 0 and x = 3 rotated around the x-axis. Finding the Volume of Solid of Revolution by Integration

Find the volume if the area bounded by the curve y = x^3 + 1

Problem Statement:

Find the volume if the area bounded by the curve y = x^3 + 1, the x-axis and the limits of x = 0 and x = 3 rotated around the x-axis.

Problem Answer:

The volume if the area bounded by the curve y = x^3 + 1, the x-axis and the limits of x = 0 and x = 3 rotated around the x-axis is 1118.2 units​3​​.

Solution:

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