(a) Evaluate the integral and simplify your result. (b) Hence, determine , writing…

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

Problem

(a) Evaluate the integral

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

and simplify your result. (b) Hence, determine

\displaystyle \int (2x+1)e^{3x}\,dx

, writing the final answer with a single constant of integration.