Answer
$$\frac{1.4^{x}}{\ln(1.4)}-\cos x-\frac{8}{5}\ln x
+c$$
Work Step by Step
Given $$
\int\left(1.4^{x}+\sin x-\frac{8}{5 x}\right) d x
$$
Thus:
\begin{align*}
\int\left(1.4^{x}+\sin x-\frac{8}{5 x}\right) d x&=\frac{1.4^{x}}{\ln(1.4)}-\cos x-\frac{8}{5}\ln x
+c\end{align*}