[tex]\int \frac {cos(\sqrt{x})}{\sqrt{x}}dx =?[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Here's what I did:

[tex]= \int x^{-0.5}cosx^{0.5}dx [/tex]

subsitute:

[tex]u= cos(\sqrt{x})[/tex]

[tex]du=-sin(\sqrt{x})(0.5x^{-0.5})dx[/tex]

[tex]-\frac {1}{0.5sin(\sqrt{x})}\int u du[/tex]

[tex]-\frac{2}{sin(\sqrt{x})} 0.5cos^2(\sqrt{x})[/tex]

[tex]-\frac{1}{sin(\sqrt{x})}cos^2(\sqrt{x})[/tex]

I know I did this wrong. Any suggestions?

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# Integration substitution help

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