Is this legal in integration? integral of (2x * 3x^2) dx is the same thing as integral of (2x) * integral of (3x^2)

Answer 1

∫[(2x)(3x²)dx = ∫(6x³)dx = 6(x⁴/4) + C = (3/2)x⁴ + C

∫(2x)dx ∫(3x²)dx = (x²)(x³) + C = x⁵ + C