Given:

⇒∫(2 - 3x)(3 + 2x)(1 - 2x)dx

By multiplying,

⇒∫ (6 - 4x - 9x - 6x²) dx

⇒∫ (6 - 13x - 6x²) dx

By Splitting, we get,

⇒∫6dx -∫13 x dx -∫6x² dx

By using the formulas,

We get,