Question

INSTANT FAN AND MEDAL:
Let f be the function defined by f(x) = −ln(x) for 0 < x ≤ 1. g(x) = x^2 Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares.