Use Integration by Parts to Find the Integral $\int e^{2 x} x^{2} d x$

Multiple Choice

Use integration by parts to find the integral.
- $\int e^{2 x} x^{2} d x$

A) $\frac{1}{2} x^{2} e^{2 x}-\frac{1}{4} x e^{2} x+\frac{1}{4} e^{2 x}+C$
B) $\frac{1}{2} x^{2} e^{2 x}-\frac{1}{2} x e^{2 x}+\frac{1}{4} e^{2 x}+C$
C) $\frac{1}{2} x^{2} e^{2 x}-\frac{1}{2} x e^{2 x}+C$
D) $\frac{1}{2} x^{2} e^{2 x}-x e^{2 x}+\frac{1}{4} e^{2 x}+C$