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Mathematics 14 Online
OpenStudy (anonymous):

integrate x^4(e^x)dx

OpenStudy (anonymous):

you have to do this by integration by parts

OpenStudy (anonymous):

recall the formula or make the table

OpenStudy (anonymous):

Which would be better to equal u=x^4 or e^x?

OpenStudy (anonymous):

x^4 since you reduce the term to 0.

OpenStudy (anonymous):

Thanks. Very much appreciated

OpenStudy (anonymous):

no prob.

OpenStudy (anonymous):

For my answer I got "x^4 * e^x - 4 integrated e^x * x^3 dx +c" is this correct?

OpenStudy (anonymous):

give me a minute

OpenStudy (anonymous):

tyt

OpenStudy (anonymous):

wait, are you allowed to have integrals in your answers ? or do you have to have it completely integrated ?

OpenStudy (anonymous):

it has to be integrated afterwards

OpenStudy (anonymous):

because this is what i got : e^(x)(4x^4-4x^3+12x^2-24x)

OpenStudy (anonymous):

hmmmm I'm a little rusty and my notes aren't helping. You're probably right. Im just a little confused

OpenStudy (anonymous):

add a +24+c to my answer. Sorry.

OpenStudy (anonymous):

what you gave me is right too, you just have to integrate it again which will give you the same answer.

OpenStudy (anonymous):

how did you get the -4x^3+ 12x^2-24x

OpenStudy (anonymous):

when you use the table you have three columns: U, dv, and a sign. you alternate signs.

OpenStudy (anonymous):

my professor hasn't shown us that table?

OpenStudy (anonymous):

i havent learned that method to be honest

OpenStudy (anonymous):

hmm, i guess you can learn right now lol

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

i need jesus to teach me

OpenStudy (anonymous):

he's probably gonna teach you in a few days haha.

OpenStudy (anonymous):

lol hes a wingspan for giving us a problem that we wont know how to solve

OpenStudy (anonymous):

is there another way of solving using uv-integral of vdu?

OpenStudy (anonymous):

wingspan* not wingspan

OpenStudy (anonymous):

D I C K

OpenStudy (anonymous):

yes; you do the table i just did

OpenStudy (anonymous):

make a column of u, one of dv and one of sign

OpenStudy (anonymous):

I mean, you CAN solve it. Just apply integration by parts 4 times...

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