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anonymous
 5 years ago
1. Consider y' = ln(2x + x^2) ; y(1) = ln 9 .
a) Using the fundamental theorem of calculus, solve the differential equation. Then find y(3) .
anonymous
 5 years ago
1. Consider y' = ln(2x + x^2) ; y(1) = ln 9 . a) Using the fundamental theorem of calculus, solve the differential equation. Then find y(3) .

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you usually use this instead of group chat?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I see, so I dont really know which fundamental theorem its talking about... arent there 2 diff ones

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the fundamental theorem of calculus that it's referring to is basically that you can take the integral of a derivative of a function and get back the function

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0O... is that the F(b)F(a) one?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh wait, that means you just take the derivitave of ln(2x+x^2)... what does it mean "solve the differential equation"? solve for what?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not take the derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yeah, the integral xD

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do you take the integral of something like that...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0factor out an x so you have ln((x)(x+2))

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how you can simplify it from there using a property of logs?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ohhh, right. you can split it to lnxln(x+2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not quite right, but almost

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry, got kicked off the comp for a bit o_o. i meant lnx +ln(x+2), but im not sure you can take the integral of that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are you just supposed to memorize what the integral of lnx is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh... i just looked it up and it turns into an integration by parts problem, so many different concepts! lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got it now, thanks!
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