\(\int\limits_{}^{} {f\left( x \right)dx}  = \dfrac{{{2^x}}}{{\ln 2}} + \sin x + x + C\)

\(\int\limits_{}^{} {f\left( x \right)dx}  = \dfrac{{{2^x}}}{{\ln 2}} - \sin x + x + C\)

\(\int\limits_{}^{} {f\left( x \right)dx}  = {2^x}.\ln 2 + \sin x + x + C\)      

\(\int\limits_{}^{} {f\left( x \right)dx}  = {2^x}.\ln 2 - \sin x + x + C\)