Question

Integrate the function: $e^{2x+3}$

Answer 1

Let 2x+3 = t

∴ 2dx = dt

$\Rightarrow \int e^{2x+3}dx = \frac{1}{2}\int e^tdt$

= $\frac{1}{2}(e^t)+C$

= $\frac{1}{2}e^{(2x+3)}+C$