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

[tex]\int\frac{dx}{\sqrt{x}\sqrt{1-x}}[/tex]

2. Relevant equations

[tex]\int\frac{du}{\sqrt{a^{2}-u^{2}}}= arcsin\frac{u}{a} + C[/tex]

3. The attempt at a solution

u[tex]^{2}[/tex]=x

dx=2u du

[tex]\int\frac{2u}{u\sqrt{1-u^{2}}}du[/tex]

2[tex]\int\frac{du}{\sqrt{1-u^{2}}} = 2arcsin\frac{u}{a} + C[/tex]

=2arcsin([tex]\sqrt{x}[/tex]) + C

But the book gives the answer to be 2arcsec([tex]\sqrt{x}[/tex]) + C, which I do not understand how they achieved that answer. Any help would be appreciated. Thank you.

Joe

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Calc II Integration with trig

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