Mệnh đề nào sau đây sai? A sin xdx=cosx+c

A. $\int \sin x\text{\hspace{0.17em}d}x=\cos x+C$

B. $\int \frac{1}{x}\text{\hspace{0.17em}d}x=\ln \left|x\right|+C, x\ne 0$

C. $\int {\text{e}}^x\text{\hspace{0.17em}d}x={\text{e}}^x+C$

D. $\int a^x\text{\hspace{0.17em}d}x=\frac{a^x}{\ln a}+C, \left(0<a\ne 1\right)$