Evaluate the Integral $\int \frac{1}{-e^{-5 x}+e^{5 x}} d x$ A) $-\frac{1}{10} \ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C$

question 7

Multiple Choice

Evaluate the integral. $\int \frac{1}{-e^{-5 x}+e^{5 x}} d x$

• A) \(-\frac{1}{10} \ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C\)
• B) \(\frac{1}{10} \ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C\)
• C) \(\ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C\)
• D) \(-\ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}}\right)+C\)
• E) \(-\ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C\)

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