Trigonmetric integrals and substitutions

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Homework Statement

integral of 83/((x^2)(100x^2-121)^(1/2))

Homework Equations

1+(tanx)^2=(secx)^2

(secx)^2-1=(tanx)^2

(x^2-a^2)^(1/2)

The Attempt at a Solution

moved 83 out of the integral tried converting the denominator to sec and then to tan, but not sure if that is right because of the 100.

 

[Dick]

First substitute 11*u/10=x. Now take the 121 out of the radical and put it with your 83 (after you take the sqrt of course!). The meat of the integral is 1/(u^2*sqrt(u^2-1)). That looks like a sec substitution.