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RyanL. Group TitleBest ResponseYou've already chosen the best response.1
^ oh yeah u substitution :D
 one year ago

RyanL. Group TitleBest ResponseYou've already chosen the best response.1
@Albertoimus Do you get it? I know it looks a little messy but if you want I can rewrite so you can see it better.
 one year ago

Albertoimus Group TitleBest ResponseYou've already chosen the best response.0
by all means.
 one year ago

RyanL. Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{}^{}\frac{\cos \sqrt{x}}{\sqrt{x}}dx\] where we say that \[u=\sqrt{x}\]and if we square both sides that means that \[x=u^2\]and if we take the derivative of that we get \[dx=2u\]
 one year ago

RyanL. Group TitleBest ResponseYou've already chosen the best response.1
The next step is a matter of replacing things
 one year ago

RyanL. Group TitleBest ResponseYou've already chosen the best response.1
woops the last part should be \[dx=2udu\]
 one year ago

RyanL. Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{}^{}\frac{cosu}{u}*2udu\] we cancel the u on the top with the u on the bottom. Also since 2 is a constant we take it outside the integral \[2\int\limits_{}^{}cosu*du\] the integral of cos u du is simply sin u \[2* \sin u\] And now we want it to convert it back into x instead of u and we know already that \[u=\sqrt{x}\] So it comes out as \[2*\sin \sqrt{x}\]
 one year ago

Albertoimus Group TitleBest ResponseYou've already chosen the best response.0
thanks
 one year ago
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