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appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}e ^{sen x} 4\cos x dx\]

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0try \(u=\sin(x), du=\cos(x)dx\) and you get it in one step

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0i got \[[e^{sen x} +c] [4 sen x + c]\] is that correct?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1\(\int e^{\sin(x)}\cdot 4\cos(x)\;dx\) Following satellite73 suggestion u = sin(x) du = cos(x)dx This gives \(\int e^{u}\cdot 4\;du = 4\cdot e^{u} + C\) Substitute back to where we started. \(4\cdot e^{\sin(x)} + C\) Be careful, consistent, and confident.

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much! but what happened with cos ?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1It's all in there with the nature of the substitution. See the definition of du.

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0so in this case cos represents the derivative for sin in the formula , right?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1That is where it came from. You can't just substitute a function. The nature of dx changes when you do that. Is English your first language? The answer to this question might help other folks understand where "sen(x)" came from.

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0haha yeah, uhmm but right now im studying in a spanishspeaking country, so sometimes (unconsciously) isay or write spanish :/ . thank you so!

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1No worries  as long as you don't mind freaking people out when you accidentally write the spanish versions of things. Good work!
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