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Mathematics
Problem
(a) Evaluate the integral
∫
x
e
3
x
d
x
\displaystyle \int x e^{3x}\,dx
∫
x
e
3
x
d
x
and simplify your result. (b) Hence, determine
∫
(
2
x
+
1
)
e
3
x
d
x
\displaystyle \int (2x+1)e^{3x}\,dx
∫
(
2
x
+
1
)
e
3
x
d
x
, writing the final answer with a single constant of integration.
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