(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Can this integral be evaluated using the basic integration formulas?

1/{x[sqrt(1-(x^2))]}dxAnswer in the back of the book: No

2. Relevant equations

[1/a]arcsecc(|u|/a) + C

3. The attempt at a solution

The reason why it cannot be an arcsec is because for the denominator, it is not the square root of (u^2 - a^2) aka: (x^2) - 1.

Thus, I wanted to take a negative out to make it -(x^2) + 1. Then I would take the negative out of the square root, then place the negative before the integral sign. Then, the answer would be -arcsec.

However, because the answer says I cannot do this problem, that means I did something wrong. However, if I did this example wrong, that means I got two other homework problems wrong. However, compared to the answers in the back of the book, I got the correct answer using this method (pull and negative out).

Therefore, I was wondering - am I doing something wrong, or did the book print a mistake? If I did something wrong, that means I'll need help with my other two homework problems :/

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# Homework Help: Arcsec question

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