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

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) $-\ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right) +C$

Correct Answer:

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