MTH102 TMA4 Questions and Solutions : Evaluate \[\int x e^{6x} dx\]

Evaluate \[\int x e^{6x} dx\]
a) \[\frac{x}{6}e^{6x}-1\frac{1}{36}e^{6x}+c\]
b) \[\frac{x}{3}e^{6x}+1\frac{1}{6}e^{6x}+c\]
c) \[\frac{x}{6}e^{6x}+1\frac{1}{36}e^{6x}+c\]
d) \[-\frac{x}{6}e^{6x}+1\frac{1}{36}e^{6x}+c\]

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