Solve the definite integral?
I don’t think there is an elementary antiderivative for this. Especially if you mean x raised to all those succesive powers… if you mean (x^2)(e^x)(x^3/2), then wolfram alpha doesn’t show steps. I tried substituting u=root(x), to get 2(integral) u^8 e^(u^2)du, then it can be turned into (integral) (ln(x))^7/2dx. Nowhere to go from there. I also had the thought to do this somhow, but it doesn’t work either: