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Math Help - finding the integral possbily u sub?

  1. #1
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    Post finding the integral possbily u sub?

    \int_0^1 {\frac{{{x^{\frac{1}<br />
{2}}}}}<br />
{{{{(1 - x)}^{\frac{1}<br />
{2}}}}}dx}<br />

    I am thinking u substitution but I am not sure what to sub in
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  2. #2
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    Quote Originally Posted by genlovesmusic09 View Post
    \int_0^1 {\frac{{{x^{\frac{1}<br />
{2}}}}}<br />
{{{{(1 - x)}^{\frac{1}<br />
{2}}}}}dx}<br />

    I am thinking u substitution but I am not sure what to sub in
    See here: - Wolfram|Alpha

    Be sure to click on Show steps.
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    can't you do a trig sub with arc sin because the bottom is (1-x)^.5
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    Quote Originally Posted by genlovesmusic09 View Post
    can't you do a trig sub with arc sin because the bottom is (1-x)^.5
    But the derivative of arcsin is \frac{1}{(1- x^2)^{.5}}, not \frac{1}{(1-x)^{.5}}.
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    Quote Originally Posted by HallsofIvy View Post
    But the derivative of arcsin is \frac{1}{(1- x^2)^{.5}}, not \frac{1}{(1-x)^{.5}}.
    but if i do a u sub where u=x^.5 then x=u^2
    so it would be u/(1-u^2)^.5
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  6. #6
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    Quote Originally Posted by genlovesmusic09 View Post
    but if i do a u sub where u=x^.5 then x=u^2
    so it would be u/(1-u^2)^.5
    No it doesn't. Have you considered what dx becomes ....?
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