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anonymous
 4 years ago
integrate s4^s ds
anonymous
 4 years ago
integrate s4^s ds

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dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1\[\large \int\limits_{}^{}s*4^{s} ds\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i think it is integration by parts u =s, dv= 4^s ds, du = ds, but what is v

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.14^s / ln(4) \[\int\limits_{}^{}a^{x} = \frac{a^{x}}{\ln(a)}\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1yes you're right to use integration by parts

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0final answer is 4^s/ln4(s1/ln4)+c

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thanks, im doing web assign right now, and i keep getting stuck

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1hmm i get something a little different: \[\large \frac{s*4^{s}}{\ln(4)} \frac{4^{s}}{(\ln(4))^{2}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that is the same, mine is just simplified, i took out the s/ln4

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how do you draw your equations so nice?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how to integrate e^(−θ) cos 4θ dθ

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1oh i see, i didn't read your answer right use the equation button, frac{}{} allows you to write nice fractions

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1to write exponents....x^{ }

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[e^{\theta} cos4\theta d\theta\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1integration by parts again...here you will have to do it twice u = e^x , dv = cos 4x du = e^x, v = 1/4 sin4x

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1The 2nd time should look like this: u = e^x , dv = sin 4x du = e^x, v = 1/4 cos 4x

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1resulting in: \[\int\limits_{}^{}e^{x}\cos(4x) = \frac{1}{4}e^{x}\sin(4x)\frac{1}{16}e^{x}\cos(4x)\frac{1}{16}\int\limits_{}^{}e^{x}\cos(4x)\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1then notice the integrals are exactly the same, so think combining like terms add 1/16 integral to other side then all you have to do is divide by a constant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0? maybe, but the answer cannot contain an integral

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1thats right, so imagine you treat the integrals like variables and combine like terms move it over to other side where the original integral is

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1your welcome here is a great resource for checking your work http://www.wolframalpha.com/input/?i=integrate+e%5Ex+*+cos%284x%29+dx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I appreciate your help, I hope you have a wonderful day
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