Integral of csch x Problem: Derive the formula You can transform the integrand to
Chapter 9, Problem C2(choose chapter or problem)
Integral of csch x Problem: Derive the formula You can transform the integrand to functions of tanh (x/2) by first observing that sinh 2A = 2 sinh A cosh A from which Clever algebra, followed by an application of the Pythagorean properties, produces the desired result. Then substitute u for tanh (x/2). You will have to be clever again to figure out what to substitute for dx in terms of du. The resulting integral is remarkably simple! Confirm that the formula works by evaluating the integral on the interval [1, 2], then checking by numerical integration.
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