Vault Of Euclid

Integral of sinh(x) / (1 + cosh(x))

Logarithmic and exponential functions warmup

Find \( \int \frac{\sinh x}{1 + \cosh x} \, dx \).

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What you need first

Derivatives of hyperbolic functions
Integration by substitution
The integral of 1/x
The range of the hyperbolic cosine function

What this problem tests

Tests the ability to recognize when the numerator is the derivative of the denominator and to apply u-substitution.

This is a standard integration problem involving hyperbolic functions, typically found in a first-year calculus course.

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