I have to find the integral of 1/((25x^2-49)^1/2) using hyperbolic functions. I'm not sure how to start to know which functions to use, thanks

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- March 19th 2010, 08:31 AMjpquinn91Hyperbolic functions
I have to find the integral of 1/((25x^2-49)^1/2) using hyperbolic functions. I'm not sure how to start to know which functions to use, thanks

- March 19th 2010, 08:46 AMdrumist
It sounds like you are expected to know (or be able to determine from a table) the derivatives of the inverse hyperbolic functions. In particular, the one that is useful in this problem would be:

(for )

Can you solve this with this information? - March 19th 2010, 10:35 AMjpquinn91
I wrote x as 7cosh(u) and ended up with arccosh(x/2) between 7 and 14, i'm not sure that this is right?

- March 19th 2010, 11:29 AMdrumist
You didn't say what the original endpoints were.

I'm not sure which simplification method you use, but this is how I get it:

Let and .

And this is valid for .