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ComFlu945
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How do I integrate this? 1/(x^2-1)^.5
How do I integrate this? x/(x^2-1)^.5
And this
1/(x^2-1)^.5
How do I integrate this? x/(x^2-1)^.5
And this
1/(x^2-1)^.5
Last edited:
ComFlu945 said:integral ( sinh(y)/sinh(y)) dy = 1 + constant
To integrate x/(x^2-1)^.5, you can use the substitution method by letting u = x^2-1. This will give you the integral of 1/u^0.5, which can be solved using the power rule.
Yes, you can also use the trigonometric substitution method by letting x = secθ or x = tanθ. This will give you the integral of secθ or sec^2θ, respectively, which can be solved using trigonometric identities.
The result of the integral of x/(x^2-1)^.5 is ln|x+(x^2-1)^0.5| + C, where C is a constant of integration.
No, integration by parts is not a suitable method for solving this integral. It is better to use substitution or trigonometric substitution.
Yes, you can simplify the integral by using algebraic manipulation to rewrite it as (x^2-1)^-0.5, which can then be integrated using the power rule.