Integrate : $\int \large\frac{1}{5-4 \sin x}$$dx$

Question

$(a)\;\frac{1}{2 \sqrt {41}} \log \bigg| \frac{t-4/5 - \sqrt {41}/5}{t- 4/5 +\sqrt {41}/5}\bigg|+c \\(b)\;\frac{1}{2 \sqrt {41}} \log \bigg| \frac{t+4/5 - \sqrt {41}/5}{t- 4/5 +\sqrt {41}/5}\bigg|+c \\(c)\; \frac{1}{\sqrt {41}} \log \bigg| \frac{t+4/5 - \sqrt {41}/5}{t- 4/5 +\sqrt {41}/5}\bigg|+c \\ (d)\;\frac{1}{ \sqrt {41}} \log \bigg| \frac{t-4/5 - \sqrt {41}/5}{t- 4/5 +\sqrt {41}/5}\bigg|+c$