Answer
$\displaystyle \frac{1}{3\ln(1.5)}\cdot \mathrm{l}.5^{3x}+C$
Work Step by Step
$\displaystyle \int 1.5^{3x}dx$=
Shortcut formula:
$\displaystyle \qquad\int c^{ax+b}dx=\frac{\mathrm{l}}{a\ln c}\cdot c^{ax+b}+C$
Apply with $ \left[\begin{array}{l}
c=1.5\\
a=3\\
b=0
\end{array}\right]$
= $\displaystyle \frac{1}{3\ln(1.5)}\cdot \mathrm{l}.5^{3x}+C$
