A student rewrites the integral by substituting

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A student rewrites the integral

\displaystyle \int x^{3} e^{x^{2}}\,dx

by substituting

u = x^{2}

, obtaining

\frac12\int u e^{u}\,du

. In one concise sentence, explain why the integral

\int u e^{u}\,du

is not immediately solvable by consulting a standard table of basic antiderivatives.