Help! Evaluate the indefinite integrals using Substitution. (use 𝐶 for the constant of integration.)

Question

∫(6-12x)(3x-3x²+3)⁶ dx= ?

I'm stuck on this

Answer 1

Take common factors of 6 from the first factor and 3 from the 2nd factor.

The set u=x-x²+1, du = 1-2x.

Now you have an integral of the form u⁶ du.