Final Answer:
The limits of integration for computing the volume V using the method of disks or washers are a = 0 and b = 1.
Step-by-step explanation:
To compute the volume of the solid obtained by rotating the region enclosed by the curves y = e^(5x) + 3, y = 0, x = 0, and x = 1 about the x-axis, we can use the method of disks or washers. The formula for the volume V in this context is given by the integral ∫[a, b] πy^2 dx, where 'a' and 'b' are the limits of integration.
In this case, the limits of integration are determined by the x-values at which the region is enclosed. The region starts at x = 0 and ends at x = 1, so the limits of integration for the integral are a = 0 and b = 1.
The integral ∫[0, 1] π(e^(5x) + 3)^2 dx represents the sum of the volumes of the disks or washers, each corresponding to an infinitesimally small slice along the x-axis. The function e^(5x) + 3 gives the height of each slice, and the integration sums up these volumes to compute the total volume of the solid. Therefore, the limits of integration are crucial in defining the region over which the integration is performed.