Tích phân \(\int\limits_{0}^{100}{x.{{e}^{2x}}dx}\) bằng
A.\(\frac{1}{4}\left( 199{{e}^{200}}+1 \right)\)
B. \(\frac{1}{4}\left( 199{{e}^{200}}-1 \right)\)
C.\(\frac{1}{2}\left( 199{{e}^{200}}+1 \right)\)
D. \(\frac{1}{2}\left( 199{{e}^{200}}-1 \right)\)