Using the substitution x = 1/y or otherwise, find ∫ {1/[x (x^2 - 1)^0.5]} dx. Thank you!!
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Hello Originally Posted by Tangera Using the substitution x = 1/y or otherwise, find ∫ {1/[x (x^2 - 1)^0.5]} dx. Substituting you should get . Now recall that the derivative of is and you are done.
Making the sub: Now, imagine: Does arccos/arcsin ring a bell?
only works for positive x. Remember, I have a more general solution. Now I'll do something that you'll understand the reason later. Let . Then . And . Now substitute everything,
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