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iouri.gordon
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I wander if my thinking is right when solving this equation. I put details in the post. Don't know how to write an equation in the initial message. So when you click on the message you'll see details.
 11 months ago
 11 months ago
iouri.gordon Group Title
I wander if my thinking is right when solving this equation. I put details in the post. Don't know how to write an equation in the initial message. So when you click on the message you'll see details.
 11 months ago
 11 months ago

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iouri.gordon Group TitleBest ResponseYou've already chosen the best response.0
Find \[F \prime \left( X \right)\] if \[F \left( X \right)=\int\limits_{x}^{x ^{2}}\tan u du\]. So what I though is by FTC 1 \[F \left( X \right)=F \left( X ^{2} \right)F \left( X \right)\], now taking derivative of both sides gives: \[F \prime \left( X \right) = 2XF \prime \left( X ^{2} \right)F \prime \left( X \right)\], which in turn could be rewritten as: \[2x \frac{ d }{ dx }\int\limits_{0}^{x ^{2}}\tan u du  \frac{ d }{ dx }\int\limits_{0}^{x}\tan udu\] which in turn equals: \[2x \tan x ^{2}\tan x\]. Am I doing the right thing?
 11 months ago

jostiniane Group TitleBest ResponseYou've already chosen the best response.0
I dont think my friend ?_? you could take another function G(X) instead taking the same F(X) ... but why not integrating tan(X) like sin/cos => sin/cos => (sin/cos) => f'/f => lncos
 11 months ago

Anunnaki Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{x}^{x^2}\tan(u)du \rightarrow \ln \left( \cos(x) \right)  \ln(\cos(x ^{2}))\]
 10 months ago
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