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

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The Answer of 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) $-\frac{1}{10} \ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C$

Definitions:

Evaluate the Integral ∫1−e−5x+e5xdx\int \frac{1}{-e^{-5 x}+e^{5 x}} d x∫−e−5x+e5x1​dx A) −110ln⁡(∣e5x−1∣e5x+1)+C-\frac{1}{10} \ln \left(\frac{\left|e^{5 x}-1\right|}{e^{5 x}+1}\right)+C−101​ln(e5x+1∣e5x−1∣​)+C

Definitions:

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