Evaluate - Book answer is attached 25. \(\sec^{-1} \left(e^y\right) + C\) books answer ### Problem 25: Integration ExerciseEvaluate the following integral:\[\int \frac{dy}{\sqrt{e^{2y} - 1}}\]This integral requires applying techniques for solving integrals involving exponential functions under a radical. To solve it, we might need to consider appropriate substitutions or manipulation of the integrand.**Steps to Evaluate:**1. Consider substitution methods to simplify the expression under the square root.2. Determine if trigonometric or hyperbolic identities can simplify the integrand.3. Apply the appropriate integral formulas once the integrand is simplified.This exercise helps in understanding advanced integral computation techniques and will explore integral properties involving exponential functions.**Note:** The answer to this integral can often be found in integral tables or by using computer algebra systems when manual computation is complex. Integrating similarly structured functions broadens your approach to solving integrals analytically.---This problem is meant for advanced calculus students who have prior experience with integrals and substitution methods. Familiarity with exponential functions and simplification techniques will be necessary to solve this integral.

Name: Evaluate - Book answer is attached 25. \(\sec^{-1} \left(e^y\right) +
Uploaded: 2024-03-20T06:46:14.000Z
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Description: Evaluate - Book answer is attached 25. \(\sec^{-1} \left(e^y\right) + C\) books answer ### Problem 25: Integration ExerciseEvaluate the following integral:\[\int \frac{dy}{\sqrt{e^{2y} - 1}}\]This integral requires applying techniques for solving int