appleduardo
  • appleduardo
what is the integral of e^(senx) 4cosx dx ? how can i solve it?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
appleduardo
  • appleduardo
\[\int\limits_{}^{}e ^{sen x} 4\cos x dx\]
geerky42
  • geerky42
sen? You mean sec?
anonymous
  • anonymous
try \(u=\sin(x), du=\cos(x)dx\) and you get it in one step

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

appleduardo
  • appleduardo
i got \[[e^{sen x} +c] [4 sen x + c]\] is that correct?
appleduardo
  • appleduardo
i meant "sin":
tkhunny
  • tkhunny
\(\int e^{\sin(x)}\cdot 4\cos(x)\;dx\) 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
  • appleduardo
thank you so much! but what happened with cos ?
tkhunny
  • tkhunny
It's all in there with the nature of the substitution. See the definition of du.
appleduardo
  • appleduardo
so in this case cos represents the derivative for sin in the formula , right?
tkhunny
  • tkhunny
That 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
  • appleduardo
haha yeah, uhmm but right now im studying in a spanish-speaking country, so sometimes (unconsciously) isay or write spanish :/ . thank you so!
tkhunny
  • tkhunny
No worries - as long as you don't mind freaking people out when you accidentally write the spanish versions of things. Good work!

Looking for something else?

Not the answer you are looking for? Search for more explanations.