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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int \large\frac{1}{5-4 \sin x} $$dx$

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

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