যদি $\int P^{x} d x=F(x)+C$ হয়, তবে $\mathbf{F}(\mathbf{x})$ এর মান কোনটি?

$\int p^{x} d x$

Apply exponential rule:

$\begin{aligned} \int \mathrm{a}^{x} \mathrm{~d} x & =\frac{\mathrm{a}^{x}}{\ln (\mathrm{a})} \text { with } \mathrm{a}=p: \\ & =\frac{p^{x}}{\ln (p)} \end{aligned}$

$\begin{array}{r} \int p^{x} d x \\\\ =\frac{p^{x}}{\ln (p)}+C \end{array}$