Answer
\[ \dfrac{2}{5}(2x+3)^5 \]
Work Step by Step
In order to integrate this function, we have to use an «u» substitution.
Choose an u, derivate it:
$u = 2x+3$
$du = 2 dx$
$\dfrac{1}{2}du=dx$
Then and substitute:
\[ \dfrac{1}{2} \int 4u^4du \]
\[ = 2 \int u^4du\]
Then integrate
\[ = \dfrac{2}{5} u^5 +C\]
And undo the substitution:
\[ \dfrac{2}{5}(2x+3)^5 \]
