Final answer:
To find the volume of the solid obtained by rotating y = sin(x²) about the y-axis, we can use the method of cylindrical shells.
Step-by-step explanation:
To find the volume of the solid obtained by rotating y = sin(x²) about the y-axis, we can use the method of cylindrical shells. The volume can be calculated by integrating the area of the infinitesimally thin cylindrical shells from 0 to the maximum value of x.
The equation for the volume is V = ∫(2πx⋅f(x)) dx, where f(x) is the function being rotated. In this case, f(x) = sin(x²). By substituting f(x) = sin(x²) into the equation and evaluating the integral, we can find the volume of the solid obtained by rotating y = sin(x²) about the y-axis.