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Asked by dam

integrate dx/root(coshx-1)
plz show step
9 years ago

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Answered by Steve
recall your half-angle formulas for hyperbolic functions:

sinh(x/2) = √((coshx-1)/2)

so,

√(coshx-1) = √2sinh(x/2)


dx/√(coshx-1) = 1/√2 csch(x/2) dx

now just use your standard form for integrating csch(u)
9 years ago

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